Theorems · Definition · functional analysis

ContinuousAlternatingMap.constOfIsEmpty

(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] → [IsEmpty ι] → N → M [⋀^ι]→L[R] N

The constant map is alternating when ι is empty.

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Basic

Cited by

9 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleTopologicalSpaceIsEmpty