Theorems · Theorem · functional analysis

ContinuousAlternatingMap.ext

∀ {R : Type u_1} {M : Type u_2} {N : Type u_4} {ι : Type u_6} [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : Module R M] [inst_3 : TopologicalSpace M] [inst_4 : AddCommMonoid N] [inst_5 : Module R N]
  [inst_6 : TopologicalSpace N] {f g : M [⋀^ι]→L[R] N}, (∀ (x : ι → M), f x = g x) → f = g

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Basic

Cited by

14 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleTopologicalSpace