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Theorems · Theorem · linear algebra

AlternatingMap.ext_iff

∀ {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} {f f' : M [⋀^ι]→ₗ[R] N},
  f = f' ↔ ∀ (x : ι → M), f x = f' x
Defined in
Mathlib.LinearAlgebra.Alternating.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
SemiringAddCommMonoidModuleAddCommMonoidModule
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Around this declaration

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AlternatingMap.compLinearMap_injective · cited by 1AlternatingMap.compLinear…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidAlternatingMap · cited by 329AlternatingMapAlternatingMap.ext · cited by 40AlternatingMap.extAlternatingMap.ext_iffCITED BYCITES

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