Theorems · Theorem · linear algebra

AlternatingMap.domLCongr_apply

∀ (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] (S : Type u_12) [inst_7 : Semiring S] [inst_8 : Module S N] [inst_9 : SMulCommClass R S N]
  (e : M ≃ₗ[R] M₂) (f : M [⋀^ι]→ₗ[R] N), (AlternatingMap.domLCongr R N ι S e) f = f.compLinearMap ↑e.symm

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

SemiringAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModuleSemiringModuleSMulCommClass