Theorems · Theorem · linear algebra

LinearMap.compAlternatingMap_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} {N₂ : Type u_11} [inst_5 : AddCommMonoid N₂]
  [inst_6 : Module R N₂] (g : N →ₗ[R] N₂) (f : M [⋀^ι]→ₗ[R] N) (m : ι → M), (g.compAlternatingMap f) m = g (f m)

Defined in

Mathlib.LinearAlgebra.Alternating.Basic

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModuleAddCommMonoidModule