Theorems · Theorem · functional analysis

ContinuousAlternatingMap.coe_mk

∀ {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 : ContinuousMultilinearMap R (fun x => M) N)
  (h : ∀ (v : ι → M) (i j : ι), v i = v j → i ≠ j → f.toFun v = 0),
  ⇑{ toContinuousMultilinearMap := f, map_eq_zero_of_eq' := h } = ⇑f

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleTopologicalSpace