Theorems · Theorem · linear algebra

AlternatingMap.domLCongr_trans

∀ (R : Type u_1) [inst : Semiring R] {M : Type u_2} [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (N : Type u_3)
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] (ι : Type u_7) {M₂ : Type u_10} [inst_5 : AddCommMonoid M₂]
  [inst_6 : Module R M₂] {M₃ : Type u_11} [inst_7 : AddCommMonoid M₃] [inst_8 : Module R M₃] (S : Type u_12)
  [inst_9 : Semiring S] [inst_10 : Module S N] [inst_11 : SMulCommClass R S N] (e : M ≃ₗ[R] M₂) (f : M₂ ≃ₗ[R] M₃),
  AlternatingMap.domLCongr R N ι S e ≪≫ₗ AlternatingMap.domLCongr R N ι S f = AlternatingMap.domLCongr R N ι S (e ≪≫ₗ f)

Defined in

Mathlib.LinearAlgebra.Alternating.Basic

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModuleSemiringModuleSMulCommClass