diff --git a/src/compiler/checker.ts b/src/compiler/checker.ts
index af4873ff1c605..5c187d6ad8af9 100644
--- a/src/compiler/checker.ts
+++ b/src/compiler/checker.ts
@@ -520,6 +520,8 @@ namespace ts {
         let deferredGlobalTemplateStringsArrayType: ObjectType;
         let deferredGlobalImportMetaType: ObjectType;
         let deferredGlobalExtractSymbol: Symbol;
+        let deferredGlobalExcludeSymbol: Symbol;
+        let deferredGlobalPickSymbol: Symbol;
         let deferredGlobalBigIntType: ObjectType;
 
         const allPotentiallyUnusedIdentifiers = createMap<PotentiallyUnusedIdentifier[]>(); // key is file name
@@ -4622,18 +4624,25 @@ namespace ts {
             if (source.flags & TypeFlags.Never) {
                 return emptyObjectType;
             }
-
             if (source.flags & TypeFlags.Union) {
                 return mapType(source, t => getRestType(t, properties, symbol));
             }
-
-            const members = createSymbolTable();
-            const names = createUnderscoreEscapedMap<true>();
-            for (const name of properties) {
-                names.set(getTextOfPropertyName(name), true);
+            const omitKeyType = getUnionType(map(properties, getLiteralTypeFromPropertyName));
+            if (isGenericObjectType(source) || isGenericIndexType(omitKeyType)) {
+                if (omitKeyType.flags & TypeFlags.Never) {
+                    return source;
+                }
+                const pickTypeAlias = getGlobalPickSymbol();
+                const excludeTypeAlias = getGlobalExcludeSymbol();
+                if (!pickTypeAlias || !excludeTypeAlias) {
+                    return errorType;
+                }
+                const pickKeys = getTypeAliasInstantiation(excludeTypeAlias, [getIndexType(source), omitKeyType]);
+                return getTypeAliasInstantiation(pickTypeAlias, [source, pickKeys]);
             }
+            const members = createSymbolTable();
             for (const prop of getPropertiesOfType(source)) {
-                if (!names.has(prop.escapedName)
+                if (!isTypeAssignableTo(getLiteralTypeFromProperty(prop, TypeFlags.StringOrNumberLiteralOrUnique), omitKeyType)
                     && !(getDeclarationModifierFlagsFromSymbol(prop) & (ModifierFlags.Private | ModifierFlags.Protected))
                     && isSpreadableProperty(prop)) {
                     members.set(prop.escapedName, getSpreadSymbol(prop));
@@ -4669,7 +4678,7 @@ namespace ts {
             let type: Type | undefined;
             if (pattern.kind === SyntaxKind.ObjectBindingPattern) {
                 if (declaration.dotDotDotToken) {
-                    if (parentType.flags & TypeFlags.Unknown || !isValidSpreadType(parentType) || isGenericObjectType(parentType)) {
+                    if (parentType.flags & TypeFlags.Unknown || !isValidSpreadType(parentType)) {
                         error(declaration, Diagnostics.Rest_types_may_only_be_created_from_object_types);
                         return errorType;
                     }
@@ -4684,12 +4693,8 @@ namespace ts {
                 else {
                     // Use explicitly specified property name ({ p: xxx } form), or otherwise the implied name ({ p } form)
                     const name = declaration.propertyName || <Identifier>declaration.name;
-                    const exprType = isComputedPropertyName(name)
-                        ? checkComputedPropertyName(name)
-                        : isIdentifier(name)
-                            ? getLiteralType(unescapeLeadingUnderscores(name.escapedText))
-                            : checkExpression(name);
-                    const declaredType = checkIndexedAccessIndexType(getIndexedAccessType(getApparentType(parentType), exprType, name), name);
+                    const exprType = getLiteralTypeFromPropertyName(name);
+                    const declaredType = checkIndexedAccessIndexType(getIndexedAccessType(parentType, exprType, name), name);
                     type = getFlowTypeOfReference(declaration, getConstraintForLocation(declaredType, declaration.name));
                 }
             }
@@ -6825,7 +6830,7 @@ namespace ts {
             if (isMappedTypeWithKeyofConstraintDeclaration(type)) {
                 // We have a { [P in keyof T]: X }
                 for (const prop of getPropertiesOfType(modifiersType)) {
-                    addMemberForKeyType(getLiteralTypeFromPropertyName(prop, include));
+                    addMemberForKeyType(getLiteralTypeFromProperty(prop, include));
                 }
                 if (modifiersType.flags & TypeFlags.Any || getIndexInfoOfType(modifiersType, IndexKind.String)) {
                     addMemberForKeyType(stringType);
@@ -8677,6 +8682,14 @@ namespace ts {
             return deferredGlobalExtractSymbol || (deferredGlobalExtractSymbol = getGlobalSymbol("Extract" as __String, SymbolFlags.TypeAlias, Diagnostics.Cannot_find_global_type_0)!); // TODO: GH#18217
         }
 
+        function getGlobalExcludeSymbol(): Symbol {
+            return deferredGlobalExcludeSymbol || (deferredGlobalExcludeSymbol = getGlobalSymbol("Exclude" as __String, SymbolFlags.TypeAlias, Diagnostics.Cannot_find_global_type_0)!); // TODO: GH#18217
+        }
+
+        function getGlobalPickSymbol(): Symbol {
+            return deferredGlobalPickSymbol || (deferredGlobalPickSymbol = getGlobalSymbol("Pick" as __String, SymbolFlags.TypeAlias, Diagnostics.Cannot_find_global_type_0)!); // TODO: GH#18217
+        }
+
         function getGlobalBigIntType(reportErrors: boolean) {
             return deferredGlobalBigIntType || (deferredGlobalBigIntType = getGlobalType("BigInt" as __String, /*arity*/ 0, reportErrors)) || emptyObjectType;
         }
@@ -9268,6 +9281,11 @@ namespace ts {
                 type.resolvedIndexType || (type.resolvedIndexType = createIndexType(type, /*stringsOnly*/ false));
         }
 
+        function getLiteralTypeFromPropertyName(name: PropertyName) {
+            return isIdentifier(name) ? getLiteralType(unescapeLeadingUnderscores(name.escapedText)) :
+                getRegularTypeOfLiteralType(isComputedPropertyName(name) ? checkComputedPropertyName(name) : checkExpression(name));
+        }
+
         function getBigIntLiteralType(node: BigIntLiteral): LiteralType {
             return getLiteralType({
                 negative: false,
@@ -9275,14 +9293,12 @@ namespace ts {
             });
         }
 
-        function getLiteralTypeFromPropertyName(prop: Symbol, include: TypeFlags) {
+        function getLiteralTypeFromProperty(prop: Symbol, include: TypeFlags) {
             if (!(getDeclarationModifierFlagsFromSymbol(prop) & ModifierFlags.NonPublicAccessibilityModifier)) {
                 let type = getLateBoundSymbol(prop).nameType;
                 if (!type && !isKnownSymbol(prop)) {
-                    const name = prop.valueDeclaration && getNameOfDeclaration(prop.valueDeclaration);
-                    type = name && isNumericLiteral(name) ? getLiteralType(+name.text) :
-                        name && name.kind === SyntaxKind.ComputedPropertyName && isNumericLiteral(name.expression) ? getLiteralType(+name.expression.text) :
-                        getLiteralType(symbolName(prop));
+                    const name = prop.valueDeclaration && getNameOfDeclaration(prop.valueDeclaration) as PropertyName;
+                    type = name && getLiteralTypeFromPropertyName(name) || getLiteralType(symbolName(prop));
                 }
                 if (type && type.flags & include) {
                     return type;
@@ -9291,8 +9307,8 @@ namespace ts {
             return neverType;
         }
 
-        function getLiteralTypeFromPropertyNames(type: Type, include: TypeFlags) {
-            return getUnionType(map(getPropertiesOfType(type), t => getLiteralTypeFromPropertyName(t, include)));
+        function getLiteralTypeFromProperties(type: Type, include: TypeFlags) {
+            return getUnionType(map(getPropertiesOfType(type), t => getLiteralTypeFromProperty(t, include)));
         }
 
         function getNonEnumNumberIndexInfo(type: Type) {
@@ -9307,10 +9323,10 @@ namespace ts {
                 getObjectFlags(type) & ObjectFlags.Mapped ? getConstraintTypeFromMappedType(<MappedType>type) :
                 type === wildcardType ? wildcardType :
                 type.flags & TypeFlags.Any ? keyofConstraintType :
-                stringsOnly ? getIndexInfoOfType(type, IndexKind.String) ? stringType : getLiteralTypeFromPropertyNames(type, TypeFlags.StringLiteral) :
-                getIndexInfoOfType(type, IndexKind.String) ? getUnionType([stringType, numberType, getLiteralTypeFromPropertyNames(type, TypeFlags.UniqueESSymbol)]) :
-                getNonEnumNumberIndexInfo(type) ? getUnionType([numberType, getLiteralTypeFromPropertyNames(type, TypeFlags.StringLiteral | TypeFlags.UniqueESSymbol)]) :
-                getLiteralTypeFromPropertyNames(type, TypeFlags.StringOrNumberLiteralOrUnique);
+                stringsOnly ? getIndexInfoOfType(type, IndexKind.String) ? stringType : getLiteralTypeFromProperties(type, TypeFlags.StringLiteral) :
+                getIndexInfoOfType(type, IndexKind.String) ? getUnionType([stringType, numberType, getLiteralTypeFromProperties(type, TypeFlags.UniqueESSymbol)]) :
+                getNonEnumNumberIndexInfo(type) ? getUnionType([numberType, getLiteralTypeFromProperties(type, TypeFlags.StringLiteral | TypeFlags.UniqueESSymbol)]) :
+                getLiteralTypeFromProperties(type, TypeFlags.StringOrNumberLiteralOrUnique);
         }
 
         function getExtractStringType(type: Type) {
@@ -9563,7 +9579,7 @@ namespace ts {
             // object type. Note that for a generic T and a non-generic K, we eagerly resolve T[K] if it originates in
             // an expression. This is to preserve backwards compatibility. For example, an element access 'this["foo"]'
             // has always been resolved eagerly using the constraint type of 'this' at the given location.
-            if (isGenericIndexType(indexType) || !(accessNode && accessNode.kind === SyntaxKind.ElementAccessExpression) && isGenericObjectType(objectType)) {
+            if (isGenericIndexType(indexType) || !(accessNode && accessNode.kind !== SyntaxKind.IndexedAccessType) && isGenericObjectType(objectType)) {
                 if (objectType.flags & TypeFlags.AnyOrUnknown) {
                     return objectType;
                 }
@@ -11013,7 +11029,7 @@ namespace ts {
             if (!length(node.properties)) return;
             for (const prop of node.properties) {
                 if (isSpreadAssignment(prop)) continue;
-                const type = getLiteralTypeFromPropertyName(getSymbolOfNode(prop), TypeFlags.StringOrNumberLiteralOrUnique);
+                const type = getLiteralTypeFromProperty(getSymbolOfNode(prop), TypeFlags.StringOrNumberLiteralOrUnique);
                 if (!type || (type.flags & TypeFlags.Never)) {
                     continue;
                 }
diff --git a/tests/baselines/reference/computedPropertyNamesContextualType8_ES5.errors.txt b/tests/baselines/reference/computedPropertyNamesContextualType8_ES5.errors.txt
index 56e374f0d5352..ee36609095a04 100644
--- a/tests/baselines/reference/computedPropertyNamesContextualType8_ES5.errors.txt
+++ b/tests/baselines/reference/computedPropertyNamesContextualType8_ES5.errors.txt
@@ -1,20 +1,21 @@
-tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts(7,5): error TS2418: Type of computed property's value is 'string', which is not assignable to type 'boolean'.
-tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts(8,5): error TS2418: Type of computed property's value is 'number', which is not assignable to type 'boolean'.
+tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts(6,5): error TS2322: Type '{ [x: string]: string | number; }' is not assignable to type 'I'.
+  Index signatures are incompatible.
+    Type 'string | number' is not assignable to type 'boolean'.
+      Type 'string' is not assignable to type 'boolean'.
 
 
-==== tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts (2 errors) ====
+==== tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts (1 errors) ====
     interface I {
         [s: string]: boolean;
         [s: number]: boolean;
     }
     
     var o: I = {
+        ~
+!!! error TS2322: Type '{ [x: string]: string | number; }' is not assignable to type 'I'.
+!!! error TS2322:   Index signatures are incompatible.
+!!! error TS2322:     Type 'string | number' is not assignable to type 'boolean'.
+!!! error TS2322:       Type 'string' is not assignable to type 'boolean'.
         [""+"foo"]: "",
-        ~~~~~~~~~~
-!!! error TS2418: Type of computed property's value is 'string', which is not assignable to type 'boolean'.
-!!! related TS6501 tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts:2:5: The expected type comes from this index signature.
         [""+"bar"]: 0
-        ~~~~~~~~~~
-!!! error TS2418: Type of computed property's value is 'number', which is not assignable to type 'boolean'.
-!!! related TS6501 tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES5.ts:2:5: The expected type comes from this index signature.
     }
\ No newline at end of file
diff --git a/tests/baselines/reference/computedPropertyNamesContextualType8_ES6.errors.txt b/tests/baselines/reference/computedPropertyNamesContextualType8_ES6.errors.txt
index c24b53eaa1709..1048fd2e119e7 100644
--- a/tests/baselines/reference/computedPropertyNamesContextualType8_ES6.errors.txt
+++ b/tests/baselines/reference/computedPropertyNamesContextualType8_ES6.errors.txt
@@ -1,20 +1,21 @@
-tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts(7,5): error TS2418: Type of computed property's value is 'string', which is not assignable to type 'boolean'.
-tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts(8,5): error TS2418: Type of computed property's value is 'number', which is not assignable to type 'boolean'.
+tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts(6,5): error TS2322: Type '{ [x: string]: string | number; }' is not assignable to type 'I'.
+  Index signatures are incompatible.
+    Type 'string | number' is not assignable to type 'boolean'.
+      Type 'string' is not assignable to type 'boolean'.
 
 
-==== tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts (2 errors) ====
+==== tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts (1 errors) ====
     interface I {
         [s: string]: boolean;
         [s: number]: boolean;
     }
     
     var o: I = {
+        ~
+!!! error TS2322: Type '{ [x: string]: string | number; }' is not assignable to type 'I'.
+!!! error TS2322:   Index signatures are incompatible.
+!!! error TS2322:     Type 'string | number' is not assignable to type 'boolean'.
+!!! error TS2322:       Type 'string' is not assignable to type 'boolean'.
         [""+"foo"]: "",
-        ~~~~~~~~~~
-!!! error TS2418: Type of computed property's value is 'string', which is not assignable to type 'boolean'.
-!!! related TS6501 tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts:2:5: The expected type comes from this index signature.
         [""+"bar"]: 0
-        ~~~~~~~~~~
-!!! error TS2418: Type of computed property's value is 'number', which is not assignable to type 'boolean'.
-!!! related TS6501 tests/cases/conformance/es6/computedProperties/computedPropertyNamesContextualType8_ES6.ts:2:5: The expected type comes from this index signature.
     }
\ No newline at end of file
diff --git a/tests/baselines/reference/definiteAssignmentOfDestructuredVariable.types b/tests/baselines/reference/definiteAssignmentOfDestructuredVariable.types
index fb40a9b492e6f..96d632736dd84 100644
--- a/tests/baselines/reference/definiteAssignmentOfDestructuredVariable.types
+++ b/tests/baselines/reference/definiteAssignmentOfDestructuredVariable.types
@@ -18,20 +18,20 @@ class C<T extends Options> {
 >method : () => void
 
         let { a, b } = this.foo;
->a : { [P in keyof T]: T[P]; }["a"]
->b : { [P in keyof T]: T[P]; }["b"]
+>a : T["a"]
+>b : T["b"]
 >this.foo : { [P in keyof T]: T[P]; }
 >this : this
 >foo : { [P in keyof T]: T[P]; }
 
         !(a && b);
 >!(a && b) : false
->(a && b) : { [P in keyof T]: T[P]; }["b"]
->a && b : { [P in keyof T]: T[P]; }["b"]
->a : { [P in keyof T]: T[P]; }["a"]
->b : { [P in keyof T]: T[P]; }["b"]
+>(a && b) : T["b"]
+>a && b : T["b"]
+>a : T["a"]
+>b : T["b"]
 
         a;
->a : { [P in keyof T]: T[P]; }["a"]
+>a : T["a"]
     }
 }
diff --git a/tests/baselines/reference/genericObjectRest.js b/tests/baselines/reference/genericObjectRest.js
new file mode 100644
index 0000000000000..33de97a3d5f6a
--- /dev/null
+++ b/tests/baselines/reference/genericObjectRest.js
@@ -0,0 +1,61 @@
+//// [genericObjectRest.ts]
+const a = 'a';
+
+function f1<T extends { a: string, b: number }>(obj: T) {
+    let { ...r0 } = obj;
+    let { a: a1, ...r1 } = obj;
+    let { a: a2, b: b2, ...r2 } = obj;
+    let { 'a': a3, ...r3 } = obj;
+    let { ['a']: a4, ...r4 } = obj;
+    let { [a]: a5, ...r5 } = obj;
+}
+
+const sa = Symbol();
+const sb = Symbol();
+
+function f2<T extends { [sa]: string, [sb]: number }>(obj: T) {
+    let { [sa]: a1, [sb]: b1, ...r1 } = obj;
+}
+
+function f3<T, K1 extends keyof T, K2 extends keyof T>(obj: T, k1: K1, k2: K2) {
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+}
+
+type Item = { a: string, b: number, c: boolean };
+
+function f4<K1 extends keyof Item, K2 extends keyof Item>(obj: Item, k1: K1, k2: K2) {
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+}
+
+
+//// [genericObjectRest.js]
+"use strict";
+var __rest = (this && this.__rest) || function (s, e) {
+    var t = {};
+    for (var p in s) if (Object.prototype.hasOwnProperty.call(s, p) && e.indexOf(p) < 0)
+        t[p] = s[p];
+    if (s != null && typeof Object.getOwnPropertySymbols === "function")
+        for (var i = 0, p = Object.getOwnPropertySymbols(s); i < p.length; i++) if (e.indexOf(p[i]) < 0)
+            t[p[i]] = s[p[i]];
+    return t;
+};
+const a = 'a';
+function f1(obj) {
+    let r0 = __rest(obj, []);
+    let { a: a1 } = obj, r1 = __rest(obj, ["a"]);
+    let { a: a2, b: b2 } = obj, r2 = __rest(obj, ["a", "b"]);
+    let { 'a': a3 } = obj, r3 = __rest(obj, ['a']);
+    let { ['a']: a4 } = obj, r4 = __rest(obj, ['a']);
+    let _a = a, a5 = obj[_a], r5 = __rest(obj, [typeof _a === "symbol" ? _a : _a + ""]);
+}
+const sa = Symbol();
+const sb = Symbol();
+function f2(obj) {
+    let _a = sa, a1 = obj[_a], _b = sb, b1 = obj[_b], r1 = __rest(obj, [typeof _a === "symbol" ? _a : _a + "", typeof _b === "symbol" ? _b : _b + ""]);
+}
+function f3(obj, k1, k2) {
+    let _a = k1, a1 = obj[_a], _b = k2, a2 = obj[_b], r1 = __rest(obj, [typeof _a === "symbol" ? _a : _a + "", typeof _b === "symbol" ? _b : _b + ""]);
+}
+function f4(obj, k1, k2) {
+    let _a = k1, a1 = obj[_a], _b = k2, a2 = obj[_b], r1 = __rest(obj, [typeof _a === "symbol" ? _a : _a + "", typeof _b === "symbol" ? _b : _b + ""]);
+}
diff --git a/tests/baselines/reference/genericObjectRest.symbols b/tests/baselines/reference/genericObjectRest.symbols
new file mode 100644
index 0000000000000..1bec7d4b1ed92
--- /dev/null
+++ b/tests/baselines/reference/genericObjectRest.symbols
@@ -0,0 +1,126 @@
+=== tests/cases/conformance/types/rest/genericObjectRest.ts ===
+const a = 'a';
+>a : Symbol(a, Decl(genericObjectRest.ts, 0, 5))
+
+function f1<T extends { a: string, b: number }>(obj: T) {
+>f1 : Symbol(f1, Decl(genericObjectRest.ts, 0, 14))
+>T : Symbol(T, Decl(genericObjectRest.ts, 2, 12))
+>a : Symbol(a, Decl(genericObjectRest.ts, 2, 23))
+>b : Symbol(b, Decl(genericObjectRest.ts, 2, 34))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+>T : Symbol(T, Decl(genericObjectRest.ts, 2, 12))
+
+    let { ...r0 } = obj;
+>r0 : Symbol(r0, Decl(genericObjectRest.ts, 3, 9))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+
+    let { a: a1, ...r1 } = obj;
+>a : Symbol(a, Decl(genericObjectRest.ts, 2, 23))
+>a1 : Symbol(a1, Decl(genericObjectRest.ts, 4, 9))
+>r1 : Symbol(r1, Decl(genericObjectRest.ts, 4, 16))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+
+    let { a: a2, b: b2, ...r2 } = obj;
+>a : Symbol(a, Decl(genericObjectRest.ts, 2, 23))
+>a2 : Symbol(a2, Decl(genericObjectRest.ts, 5, 9))
+>b : Symbol(b, Decl(genericObjectRest.ts, 2, 34))
+>b2 : Symbol(b2, Decl(genericObjectRest.ts, 5, 16))
+>r2 : Symbol(r2, Decl(genericObjectRest.ts, 5, 23))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+
+    let { 'a': a3, ...r3 } = obj;
+>a3 : Symbol(a3, Decl(genericObjectRest.ts, 6, 9))
+>r3 : Symbol(r3, Decl(genericObjectRest.ts, 6, 18))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+
+    let { ['a']: a4, ...r4 } = obj;
+>'a' : Symbol(a4, Decl(genericObjectRest.ts, 7, 9))
+>a4 : Symbol(a4, Decl(genericObjectRest.ts, 7, 9))
+>r4 : Symbol(r4, Decl(genericObjectRest.ts, 7, 20))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+
+    let { [a]: a5, ...r5 } = obj;
+>a : Symbol(a, Decl(genericObjectRest.ts, 0, 5))
+>a5 : Symbol(a5, Decl(genericObjectRest.ts, 8, 9))
+>r5 : Symbol(r5, Decl(genericObjectRest.ts, 8, 18))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 2, 48))
+}
+
+const sa = Symbol();
+>sa : Symbol(sa, Decl(genericObjectRest.ts, 11, 5))
+>Symbol : Symbol(Symbol, Decl(lib.es5.d.ts, --, --), Decl(lib.es2015.symbol.d.ts, --, --), Decl(lib.es2015.symbol.wellknown.d.ts, --, --))
+
+const sb = Symbol();
+>sb : Symbol(sb, Decl(genericObjectRest.ts, 12, 5))
+>Symbol : Symbol(Symbol, Decl(lib.es5.d.ts, --, --), Decl(lib.es2015.symbol.d.ts, --, --), Decl(lib.es2015.symbol.wellknown.d.ts, --, --))
+
+function f2<T extends { [sa]: string, [sb]: number }>(obj: T) {
+>f2 : Symbol(f2, Decl(genericObjectRest.ts, 12, 20))
+>T : Symbol(T, Decl(genericObjectRest.ts, 14, 12))
+>[sa] : Symbol([sa], Decl(genericObjectRest.ts, 14, 23))
+>sa : Symbol(sa, Decl(genericObjectRest.ts, 11, 5))
+>[sb] : Symbol([sb], Decl(genericObjectRest.ts, 14, 37))
+>sb : Symbol(sb, Decl(genericObjectRest.ts, 12, 5))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 14, 54))
+>T : Symbol(T, Decl(genericObjectRest.ts, 14, 12))
+
+    let { [sa]: a1, [sb]: b1, ...r1 } = obj;
+>sa : Symbol(sa, Decl(genericObjectRest.ts, 11, 5))
+>a1 : Symbol(a1, Decl(genericObjectRest.ts, 15, 9))
+>sb : Symbol(sb, Decl(genericObjectRest.ts, 12, 5))
+>b1 : Symbol(b1, Decl(genericObjectRest.ts, 15, 19))
+>r1 : Symbol(r1, Decl(genericObjectRest.ts, 15, 29))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 14, 54))
+}
+
+function f3<T, K1 extends keyof T, K2 extends keyof T>(obj: T, k1: K1, k2: K2) {
+>f3 : Symbol(f3, Decl(genericObjectRest.ts, 16, 1))
+>T : Symbol(T, Decl(genericObjectRest.ts, 18, 12))
+>K1 : Symbol(K1, Decl(genericObjectRest.ts, 18, 14))
+>T : Symbol(T, Decl(genericObjectRest.ts, 18, 12))
+>K2 : Symbol(K2, Decl(genericObjectRest.ts, 18, 34))
+>T : Symbol(T, Decl(genericObjectRest.ts, 18, 12))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 18, 55))
+>T : Symbol(T, Decl(genericObjectRest.ts, 18, 12))
+>k1 : Symbol(k1, Decl(genericObjectRest.ts, 18, 62))
+>K1 : Symbol(K1, Decl(genericObjectRest.ts, 18, 14))
+>k2 : Symbol(k2, Decl(genericObjectRest.ts, 18, 70))
+>K2 : Symbol(K2, Decl(genericObjectRest.ts, 18, 34))
+
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+>k1 : Symbol(k1, Decl(genericObjectRest.ts, 18, 62))
+>a1 : Symbol(a1, Decl(genericObjectRest.ts, 19, 9))
+>k2 : Symbol(k2, Decl(genericObjectRest.ts, 18, 70))
+>a2 : Symbol(a2, Decl(genericObjectRest.ts, 19, 19))
+>r1 : Symbol(r1, Decl(genericObjectRest.ts, 19, 29))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 18, 55))
+}
+
+type Item = { a: string, b: number, c: boolean };
+>Item : Symbol(Item, Decl(genericObjectRest.ts, 20, 1))
+>a : Symbol(a, Decl(genericObjectRest.ts, 22, 13))
+>b : Symbol(b, Decl(genericObjectRest.ts, 22, 24))
+>c : Symbol(c, Decl(genericObjectRest.ts, 22, 35))
+
+function f4<K1 extends keyof Item, K2 extends keyof Item>(obj: Item, k1: K1, k2: K2) {
+>f4 : Symbol(f4, Decl(genericObjectRest.ts, 22, 49))
+>K1 : Symbol(K1, Decl(genericObjectRest.ts, 24, 12))
+>Item : Symbol(Item, Decl(genericObjectRest.ts, 20, 1))
+>K2 : Symbol(K2, Decl(genericObjectRest.ts, 24, 34))
+>Item : Symbol(Item, Decl(genericObjectRest.ts, 20, 1))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 24, 58))
+>Item : Symbol(Item, Decl(genericObjectRest.ts, 20, 1))
+>k1 : Symbol(k1, Decl(genericObjectRest.ts, 24, 68))
+>K1 : Symbol(K1, Decl(genericObjectRest.ts, 24, 12))
+>k2 : Symbol(k2, Decl(genericObjectRest.ts, 24, 76))
+>K2 : Symbol(K2, Decl(genericObjectRest.ts, 24, 34))
+
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+>k1 : Symbol(k1, Decl(genericObjectRest.ts, 24, 68))
+>a1 : Symbol(a1, Decl(genericObjectRest.ts, 25, 9))
+>k2 : Symbol(k2, Decl(genericObjectRest.ts, 24, 76))
+>a2 : Symbol(a2, Decl(genericObjectRest.ts, 25, 19))
+>r1 : Symbol(r1, Decl(genericObjectRest.ts, 25, 29))
+>obj : Symbol(obj, Decl(genericObjectRest.ts, 24, 58))
+}
+
diff --git a/tests/baselines/reference/genericObjectRest.types b/tests/baselines/reference/genericObjectRest.types
new file mode 100644
index 0000000000000..c2fcaad7cb87c
--- /dev/null
+++ b/tests/baselines/reference/genericObjectRest.types
@@ -0,0 +1,110 @@
+=== tests/cases/conformance/types/rest/genericObjectRest.ts ===
+const a = 'a';
+>a : "a"
+>'a' : "a"
+
+function f1<T extends { a: string, b: number }>(obj: T) {
+>f1 : <T extends { a: string; b: number; }>(obj: T) => void
+>a : string
+>b : number
+>obj : T
+
+    let { ...r0 } = obj;
+>r0 : T
+>obj : T
+
+    let { a: a1, ...r1 } = obj;
+>a : any
+>a1 : string
+>r1 : Pick<T, Exclude<keyof T, "a">>
+>obj : T
+
+    let { a: a2, b: b2, ...r2 } = obj;
+>a : any
+>a2 : string
+>b : any
+>b2 : number
+>r2 : Pick<T, Exclude<keyof T, "a" | "b">>
+>obj : T
+
+    let { 'a': a3, ...r3 } = obj;
+>a3 : string
+>r3 : Pick<T, Exclude<keyof T, "a">>
+>obj : T
+
+    let { ['a']: a4, ...r4 } = obj;
+>'a' : "a"
+>a4 : string
+>r4 : Pick<T, Exclude<keyof T, "a">>
+>obj : T
+
+    let { [a]: a5, ...r5 } = obj;
+>a : "a"
+>a5 : string
+>r5 : Pick<T, Exclude<keyof T, "a">>
+>obj : T
+}
+
+const sa = Symbol();
+>sa : unique symbol
+>Symbol() : unique symbol
+>Symbol : SymbolConstructor
+
+const sb = Symbol();
+>sb : unique symbol
+>Symbol() : unique symbol
+>Symbol : SymbolConstructor
+
+function f2<T extends { [sa]: string, [sb]: number }>(obj: T) {
+>f2 : <T extends { [sa]: string; [sb]: number; }>(obj: T) => void
+>[sa] : string
+>sa : unique symbol
+>[sb] : number
+>sb : unique symbol
+>obj : T
+
+    let { [sa]: a1, [sb]: b1, ...r1 } = obj;
+>sa : unique symbol
+>a1 : string
+>sb : unique symbol
+>b1 : number
+>r1 : Pick<T, Exclude<keyof T, unique symbol | unique symbol>>
+>obj : T
+}
+
+function f3<T, K1 extends keyof T, K2 extends keyof T>(obj: T, k1: K1, k2: K2) {
+>f3 : <T, K1 extends keyof T, K2 extends keyof T>(obj: T, k1: K1, k2: K2) => void
+>obj : T
+>k1 : K1
+>k2 : K2
+
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+>k1 : K1
+>a1 : T[K1]
+>k2 : K2
+>a2 : T[K2]
+>r1 : Pick<T, Exclude<keyof T, K1 | K2>>
+>obj : T
+}
+
+type Item = { a: string, b: number, c: boolean };
+>Item : Item
+>a : string
+>b : number
+>c : boolean
+
+function f4<K1 extends keyof Item, K2 extends keyof Item>(obj: Item, k1: K1, k2: K2) {
+>f4 : <K1 extends "a" | "b" | "c", K2 extends "a" | "b" | "c">(obj: Item, k1: K1, k2: K2) => void
+>obj : Item
+>k1 : K1
+>k2 : K2
+
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+>k1 : K1
+>a1 : Item[K1]
+>k2 : K2
+>a2 : Item[K2]
+>r1 : Pick<Item, Exclude<"a", K1 | K2> | Exclude<"b", K1 | K2> | Exclude<"c", K1 | K2>>
+>obj : Item
+}
+
diff --git a/tests/baselines/reference/objectRest.errors.txt b/tests/baselines/reference/objectRest.errors.txt
index 709a2d3cdd6c7..2cee03225c301 100644
--- a/tests/baselines/reference/objectRest.errors.txt
+++ b/tests/baselines/reference/objectRest.errors.txt
@@ -2,9 +2,12 @@ tests/cases/conformance/types/rest/objectRest.ts(7,12): error TS2339: Property '
 tests/cases/conformance/types/rest/objectRest.ts(7,20): error TS2339: Property '1' does not exist on type 'String'.
 tests/cases/conformance/types/rest/objectRest.ts(43,8): error TS2537: Type '{ a: number; b: string; }' has no matching index signature for type 'string'.
 tests/cases/conformance/types/rest/objectRest.ts(43,35): error TS2537: Type '{ a: number; b: string; }' has no matching index signature for type 'string'.
+tests/cases/conformance/types/rest/objectRest.ts(43,57): error TS2403: Subsequent variable declarations must have the same type.  Variable 'o' must be of type '{ a: number; b: string; }', but here has type '{}'.
+tests/cases/conformance/types/rest/objectRest.ts(44,53): error TS2322: Type '{}' is not assignable to type '{ a: number; b: string; }'.
+  Property 'a' is missing in type '{}'.
 
 
-==== tests/cases/conformance/types/rest/objectRest.ts (4 errors) ====
+==== tests/cases/conformance/types/rest/objectRest.ts (6 errors) ====
     var o = { a: 1, b: 'no' }
     var { ...clone } = o;
     var { a, ...justB } = o;
@@ -56,7 +59,12 @@ tests/cases/conformance/types/rest/objectRest.ts(43,35): error TS2537: Type '{ a
 !!! error TS2537: Type '{ a: number; b: string; }' has no matching index signature for type 'string'.
                                       ~~~~~~~~~
 !!! error TS2537: Type '{ a: number; b: string; }' has no matching index signature for type 'string'.
+                                                            ~
+!!! error TS2403: Subsequent variable declarations must have the same type.  Variable 'o' must be of type '{ a: number; b: string; }', but here has type '{}'.
     ({ [computed]: stillNotGreat, [computed2]: soSo, ...o } = o);
+                                                        ~
+!!! error TS2322: Type '{}' is not assignable to type '{ a: number; b: string; }'.
+!!! error TS2322:   Property 'a' is missing in type '{}'.
     
     var noContextualType = ({ aNumber = 12, ...notEmptyObject }) => aNumber + notEmptyObject.anythingGoes;
     
\ No newline at end of file
diff --git a/tests/baselines/reference/objectRestNegative.errors.txt b/tests/baselines/reference/objectRestNegative.errors.txt
index fef99187d55b4..42b25d137ef96 100644
--- a/tests/baselines/reference/objectRestNegative.errors.txt
+++ b/tests/baselines/reference/objectRestNegative.errors.txt
@@ -5,11 +5,10 @@ tests/cases/conformance/types/rest/objectRestNegative.ts(6,10): error TS2322: Ty
 tests/cases/conformance/types/rest/objectRestNegative.ts(9,31): error TS2462: A rest element must be last in a destructuring pattern.
 tests/cases/conformance/types/rest/objectRestNegative.ts(11,30): error TS7008: Member 'x' implicitly has an 'any' type.
 tests/cases/conformance/types/rest/objectRestNegative.ts(11,33): error TS7008: Member 'y' implicitly has an 'any' type.
-tests/cases/conformance/types/rest/objectRestNegative.ts(12,17): error TS2700: Rest types may only be created from object types.
 tests/cases/conformance/types/rest/objectRestNegative.ts(17,9): error TS2701: The target of an object rest assignment must be a variable or a property access.
 
 
-==== tests/cases/conformance/types/rest/objectRestNegative.ts (7 errors) ====
+==== tests/cases/conformance/types/rest/objectRestNegative.ts (6 errors) ====
     let o = { a: 1, b: 'no' };
     var { ...mustBeLast, a } = o;
              ~~~~~~~~~~
@@ -34,8 +33,6 @@ tests/cases/conformance/types/rest/objectRestNegative.ts(17,9): error TS2701: Th
                                     ~
 !!! error TS7008: Member 'y' implicitly has an 'any' type.
         let { x, ...rest } = t;
-                    ~~~~
-!!! error TS2700: Rest types may only be created from object types.
         return rest;
     }
     
diff --git a/tests/baselines/reference/objectRestNegative.types b/tests/baselines/reference/objectRestNegative.types
index dff6388d6090f..58ed1902f6dd4 100644
--- a/tests/baselines/reference/objectRestNegative.types
+++ b/tests/baselines/reference/objectRestNegative.types
@@ -36,18 +36,18 @@ function stillMustBeLast({ ...mustBeLast, a }: { a: number, b: string }): void {
 >b : string
 }
 function generic<T extends { x, y }>(t: T) {
->generic : <T extends { x: any; y: any; }>(t: T) => any
+>generic : <T extends { x: any; y: any; }>(t: T) => Pick<T, Exclude<keyof T, "x">>
 >x : any
 >y : any
 >t : T
 
     let { x, ...rest } = t;
 >x : any
->rest : any
+>rest : Pick<T, Exclude<keyof T, "x">>
 >t : T
 
     return rest;
->rest : any
+>rest : Pick<T, Exclude<keyof T, "x">>
 }
 
 let rest: { b: string }
diff --git a/tests/baselines/reference/restInvalidArgumentType.errors.txt b/tests/baselines/reference/restInvalidArgumentType.errors.txt
index 0cc4faea557d2..7e0c852316a93 100644
--- a/tests/baselines/reference/restInvalidArgumentType.errors.txt
+++ b/tests/baselines/reference/restInvalidArgumentType.errors.txt
@@ -1,11 +1,5 @@
-tests/cases/compiler/restInvalidArgumentType.ts(27,13): error TS2700: Rest types may only be created from object types.
-tests/cases/compiler/restInvalidArgumentType.ts(29,13): error TS2700: Rest types may only be created from object types.
-tests/cases/compiler/restInvalidArgumentType.ts(30,13): error TS2700: Rest types may only be created from object types.
 tests/cases/compiler/restInvalidArgumentType.ts(31,13): error TS2700: Rest types may only be created from object types.
-tests/cases/compiler/restInvalidArgumentType.ts(33,13): error TS2700: Rest types may only be created from object types.
-tests/cases/compiler/restInvalidArgumentType.ts(36,13): error TS2700: Rest types may only be created from object types.
 tests/cases/compiler/restInvalidArgumentType.ts(37,13): error TS2700: Rest types may only be created from object types.
-tests/cases/compiler/restInvalidArgumentType.ts(39,13): error TS2700: Rest types may only be created from object types.
 tests/cases/compiler/restInvalidArgumentType.ts(40,13): error TS2700: Rest types may only be created from object types.
 tests/cases/compiler/restInvalidArgumentType.ts(42,13): error TS2700: Rest types may only be created from object types.
 tests/cases/compiler/restInvalidArgumentType.ts(43,13): error TS2700: Rest types may only be created from object types.
@@ -16,7 +10,7 @@ tests/cases/compiler/restInvalidArgumentType.ts(51,13): error TS2700: Rest types
 tests/cases/compiler/restInvalidArgumentType.ts(53,13): error TS2700: Rest types may only be created from object types.
 
 
-==== tests/cases/compiler/restInvalidArgumentType.ts (16 errors) ====
+==== tests/cases/compiler/restInvalidArgumentType.ts (10 errors) ====
     enum E { v1, v2 };
     
     function f<T extends { b: string }>(p1: T, p2: T[]) {
@@ -44,34 +38,22 @@ tests/cases/compiler/restInvalidArgumentType.ts(53,13): error TS2700: Rest types
         var a: any;
     
         var {...r1} = p1;   // Error, generic type paramterre
-                ~~
-!!! error TS2700: Rest types may only be created from object types.
         var {...r2} = p2;   // OK
         var {...r3} = t;   // Error, generic type paramter
-                ~~
-!!! error TS2700: Rest types may only be created from object types.
         var {...r4} = i;   // Error, index access
-                ~~
-!!! error TS2700: Rest types may only be created from object types.
         var {...r5} = k;   // Error, index
                 ~~
 !!! error TS2700: Rest types may only be created from object types.
     
         var {...r6} = mapped_generic; // Error, generic mapped object type
-                ~~
-!!! error TS2700: Rest types may only be created from object types.
         var {...r7} = mapped;  // OK, non-generic mapped type
     
         var {...r8} = union_generic;  // Error, union with generic type parameter
-                ~~
-!!! error TS2700: Rest types may only be created from object types.
         var {...r9} = union_primitive;  // Error, union with generic type parameter
                 ~~
 !!! error TS2700: Rest types may only be created from object types.
     
         var {...r10} = intersection_generic;  // Error, intersection with generic type parameter
-                ~~~
-!!! error TS2700: Rest types may only be created from object types.
         var {...r11} = intersection_primitive;  // Error, intersection with generic type parameter
                 ~~~
 !!! error TS2700: Rest types may only be created from object types.
diff --git a/tests/baselines/reference/restInvalidArgumentType.types b/tests/baselines/reference/restInvalidArgumentType.types
index ce59fb145f960..54af9099c311d 100644
--- a/tests/baselines/reference/restInvalidArgumentType.types
+++ b/tests/baselines/reference/restInvalidArgumentType.types
@@ -67,7 +67,7 @@ function f<T extends { b: string }>(p1: T, p2: T[]) {
 >a : any
 
     var {...r1} = p1;   // Error, generic type paramterre
->r1 : any
+>r1 : T
 >p1 : T
 
     var {...r2} = p2;   // OK
@@ -75,11 +75,11 @@ function f<T extends { b: string }>(p1: T, p2: T[]) {
 >p2 : T[]
 
     var {...r3} = t;   // Error, generic type paramter
->r3 : any
+>r3 : T
 >t : T
 
     var {...r4} = i;   // Error, index access
->r4 : any
+>r4 : T["b"]
 >i : T["b"]
 
     var {...r5} = k;   // Error, index
@@ -87,7 +87,7 @@ function f<T extends { b: string }>(p1: T, p2: T[]) {
 >k : keyof T
 
     var {...r6} = mapped_generic; // Error, generic mapped object type
->r6 : any
+>r6 : { [P in keyof T]: T[P]; }
 >mapped_generic : { [P in keyof T]: T[P]; }
 
     var {...r7} = mapped;  // OK, non-generic mapped type
@@ -95,7 +95,7 @@ function f<T extends { b: string }>(p1: T, p2: T[]) {
 >mapped : { b: T["b"]; }
 
     var {...r8} = union_generic;  // Error, union with generic type parameter
->r8 : any
+>r8 : T | { a: number; }
 >union_generic : T | { a: number; }
 
     var {...r9} = union_primitive;  // Error, union with generic type parameter
@@ -103,7 +103,7 @@ function f<T extends { b: string }>(p1: T, p2: T[]) {
 >union_primitive : number | { a: number; }
 
     var {...r10} = intersection_generic;  // Error, intersection with generic type parameter
->r10 : any
+>r10 : T & { a: number; }
 >intersection_generic : T & { a: number; }
 
     var {...r11} = intersection_primitive;  // Error, intersection with generic type parameter
diff --git a/tests/cases/conformance/types/rest/genericObjectRest.ts b/tests/cases/conformance/types/rest/genericObjectRest.ts
new file mode 100644
index 0000000000000..18649db64158c
--- /dev/null
+++ b/tests/cases/conformance/types/rest/genericObjectRest.ts
@@ -0,0 +1,30 @@
+// @strict: true
+// @target: es2015
+
+const a = 'a';
+
+function f1<T extends { a: string, b: number }>(obj: T) {
+    let { ...r0 } = obj;
+    let { a: a1, ...r1 } = obj;
+    let { a: a2, b: b2, ...r2 } = obj;
+    let { 'a': a3, ...r3 } = obj;
+    let { ['a']: a4, ...r4 } = obj;
+    let { [a]: a5, ...r5 } = obj;
+}
+
+const sa = Symbol();
+const sb = Symbol();
+
+function f2<T extends { [sa]: string, [sb]: number }>(obj: T) {
+    let { [sa]: a1, [sb]: b1, ...r1 } = obj;
+}
+
+function f3<T, K1 extends keyof T, K2 extends keyof T>(obj: T, k1: K1, k2: K2) {
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+}
+
+type Item = { a: string, b: number, c: boolean };
+
+function f4<K1 extends keyof Item, K2 extends keyof Item>(obj: Item, k1: K1, k2: K2) {
+    let { [k1]: a1, [k2]: a2, ...r1 } = obj;
+}