Fix pyright 1.1.400 reportInvalidTypeForm issues

stubs/sympy-stubs/polys/domains/algebraicfield.pyi

@@ -15,7 +15,7 @@ class AlgebraicField(Field, CharacteristicZero, SimpleDomain):
     has_assoc_Ring = ...
     has_assoc_Field = ...
     def __init__(self, dom, *ext, alias=...) -> None: ...
-    def new(self, element) -> dtype: ...
+    def new(self, element) -> ANP: ...
     def __hash__(self) -> int: ...
     def __eq__(self, other) -> bool: ...
     def algebraic_field(self, *extension, alias=...) -> Any: ...
@@ -40,7 +40,7 @@ class AlgebraicField(Field, CharacteristicZero, SimpleDomain):
     def from_GaussianIntegerRing(K1, a, K0): ...
     def from_GaussianRationalField(K1, a, K0): ...
     def maximal_order(self) -> Any | None: ...
-    def integral_basis(self, fmt=...) -> list[Any | Order] | list[Any] | list[dtype]: ...
+    def integral_basis(self, fmt=...) -> list[Any | Order] | list[Any] | list[ANP]: ...
     def discriminant(self) -> Any | None: ...
     def primes_above(self, p) -> Any: ...
     def galois_group(self, by_name=..., max_tries=..., randomize=...) -> Any: ...

stubs/sympy-stubs/polys/domains/expressiondomain.pyi

@@ -47,7 +47,7 @@ class ExpressionDomain(Field, CharacteristicZero, SimpleDomain):
     has_assoc_Field = ...
     def __init__(self) -> None: ...
     def to_sympy(self, a): ...
-    def from_sympy(self, a) -> dtype: ...
+    def from_sympy(self, a) -> Expression: ...
     def from_ZZ(K1, a, K0): ...
     def from_ZZ_python(K1, a, K0): ...
     def from_QQ(K1, a, K0): ...

stubs/sympy-stubs/polys/domains/integerring.pyi

@@ -11,9 +11,9 @@ class IntegerRing(Ring, CharacteristicZero, SimpleDomain):  # type: ignore
     rep = ...
     alias = ...
     dtype = MPZ
-    zero = dtype(0)
-    one = dtype(1)
-    tp: type[dtype]
+    zero = MPZ(0)
+    one = MPZ(1)
+    tp: type
     is_ZZ = ...
     is_Numerical = ...
     is_PID = ...
@@ -25,7 +25,7 @@ class IntegerRing(Ring, CharacteristicZero, SimpleDomain):  # type: ignore
     def get_field(self) -> Any: ...
     def algebraic_field(self, *extension, alias=...) -> Any: ...
     def from_AlgebraicField(K1, a, K0) -> None: ...
-    def log(self, a, b) -> dtype: ...
+    def log(self, a, b): ...
     def from_FF(K1, a, K0) -> int: ...
     def from_FF_python(K1, a, K0) -> int: ...
     def from_ZZ(K1, a, K0) -> int: ...

stubs/sympy-stubs/polys/domains/old_fractionfield.pyi

@@ -11,7 +11,7 @@ class FractionField(Field, CharacteristicZero, CompositeDomain):
     has_assoc_Ring = ...
     has_assoc_Field = ...
     def __init__(self, dom, *gens) -> None: ...
-    def new(self, element) -> dtype: ...
+    def new(self, element) -> DMF: ...
     def __hash__(self) -> int: ...
     def __eq__(self, other) -> bool: ...
     def to_sympy(self, a): ...
@@ -33,4 +33,4 @@ class FractionField(Field, CharacteristicZero, CompositeDomain):
     def is_nonnegative(self, a): ...
     def numer(self, a): ...
     def denom(self, a): ...
-    def factorial(self, a) -> dtype: ...
+    def factorial(self, a) -> DMF: ...

stubs/sympy-stubs/polys/domains/old_polynomialring.pyi

@@ -50,7 +50,7 @@ class GlobalPolynomialRing(PolynomialRingBase):
 
 class GeneralizedPolynomialRing(PolynomialRingBase):
     dtype = DMF
-    def new(self, a) -> dtype: ...
+    def new(self, a) -> DMF: ...
     def __contains__(self, a) -> Literal[False]: ...
     def from_FractionField(K1, a, K0): ...
     def to_sympy(self, a): ...

stubs/sympy-stubs/polys/domains/rationalfield.pyi

@@ -1,3 +1,4 @@
+from _typeshed import Incomplete
 from types import NotImplementedType
 from typing import Any
 from typing_extensions import Self
@@ -17,9 +18,9 @@ class RationalField(Field, CharacteristicZero, SimpleDomain):
     has_assoc_Ring = ...
     has_assoc_Field = ...
     dtype = MPQ
-    zero = dtype(0)
-    one = dtype(1)
-    tp: type[dtype]
+    zero = MPQ(0)
+    one = MPQ(1)
+    tp: type
     def __init__(self) -> None: ...
     def get_ring(self) -> Any: ...
     def to_sympy(self, a) -> Rational | Integer: ...
@@ -36,8 +37,8 @@ class RationalField(Field, CharacteristicZero, SimpleDomain):
     def from_RealField(K1, a, K0) -> PythonMPQ: ...
     def exquo(self, a, b) -> NotImplementedType | Self: ...
     def quo(self, a, b) -> NotImplementedType | Self: ...
-    def rem(self, a, b) -> dtype: ...
-    def div(self, a, b) -> tuple[NotImplementedType | Self, dtype]: ...
+    def rem(self, a, b): ...
+    def div(self, a, b) -> tuple[NotImplementedType | Self, Incomplete]: ...
     def numer(self, a): ...
     def denom(self, a): ...