Theorems · Theorem · linear algebra

LinearEquiv.baseChange_trans

∀ (R : Type u_1) (A : Type u_2) (M : Type u_4) (N : Type u_5) {P : Type u_6} [inst : CommSemiring R]
  [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid N]
  [inst_5 : AddCommMonoid P] [inst_6 : Module R M] [inst_7 : Module R N] [inst_8 : Module R P] (e : M ≃ₗ[R] N)
  (f : N ≃ₗ[R] P),
  LinearEquiv.baseChange R A M P (e ≪≫ₗ f) = LinearEquiv.baseChange R A M N e ≪≫ₗ LinearEquiv.baseChange R A N P f

Defined in

Mathlib.LinearAlgebra.TensorProduct.Tower

Cited by

1 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule