Theorems · Theorem · commutative algebra
Algebra.TensorProduct.mul.congr_simp
∀ {R : Type uR} {A : Type uA} {B : Type uB} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A]
[inst_2 : Module R A] [inst_3 : SMulCommClass R A A] [inst_4 : IsScalarTower R A A]
[inst_5 : NonUnitalNonAssocSemiring B] [inst_6 : Module R B] [inst_7 : SMulCommClass R B B]
[inst_8 : IsScalarTower R B B], Algebra.TensorProduct.mul = Algebra.TensorProduct.mul- Defined in
- Mathlib.RingTheory.TensorProduct.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- TensorProductstatement · cited by 2,545
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Algebra.TensorProduct.mulstatement and proof · cited by 5
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