Theorems · Theorem · functional analysis

ContinuousAlternatingMap.toAlternatingMapLinear_apply

∀ {R : Type u_1} {A : Type u_2} {M : Type u_3} {N : Type u_4} {ι : Type u_5} [inst : Semiring R] [inst_1 : Semiring A]
  [inst_2 : AddCommMonoid M] [inst_3 : AddCommMonoid N] [inst_4 : TopologicalSpace M] [inst_5 : TopologicalSpace N]
  [inst_6 : ContinuousAdd N] [inst_7 : Module A M] [inst_8 : Module A N] [inst_9 : Module R N]
  [inst_10 : ContinuousConstSMul R N] [inst_11 : SMulCommClass A R N],
  ⇑ContinuousAlternatingMap.toAlternatingMapLinear = ContinuousAlternatingMap.toAlternatingMap

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Basic

Cited by

2 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringAddCommMonoidAddCommMonoidTopologicalSpaceTopologicalSpaceContinuousAddModuleModuleModuleContinuousConstSMulSMulCommClass