Theorems · Theorem · commutative algebra

TensorProduct.congr_mul

∀ {R : Type u_1} [inst : CommSemiring R] {M : Type u_7} {N : Type u_8} [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid N] [inst_3 : Module R M] [inst_4 : Module R N] (f : M ≃ₗ[R] M) (g : N ≃ₗ[R] N)
  (f' : M ≃ₗ[R] M) (g' : N ≃ₗ[R] N),
  TensorProduct.congr (f * f') (g * g') = TensorProduct.congr f g * TensorProduct.congr f' g'

Defined in

Mathlib.LinearAlgebra.TensorProduct.Map

Cited by

1 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidModuleModule