Mathlib Map

Theorems · Definition · functional analysis

ContinuousAlternatingMap.toAlternatingMap

{R : Type u_1} →
  {M : Type u_2} →
    {N : Type u_3} →
      {ι : Type u_4} →
        [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] → M [⋀^ι]→L[R] N → M [⋀^ι]→ₗ[R] N

Projection to AlternatingMaps.

Defined in
Mathlib.Topology.Algebra.Module.Alternating.Basic
Cited by
16 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
SemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleTopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousAlternatingMap.compContinuousLinearMap · cited by 24ContinuousAlternatingMap.…ContinuousLinearMap.compContinuousAlternatingMap · cited by 19ContinuousLinearMap.compC…ContinuousAlternatingMap.curryLeft · cited by 14ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMapLinear · cited by 3ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMapLinear_apply · cited by 2ContinuousAlternatingMap.…ContinuousAlternatingMap.smulRight · cited by 2ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMap_injective · cited by 1ContinuousAlternatingMap.…ContinuousAlternatingMap.map_insertNth · cited by 1ContinuousAlternatingMap.…ContinuousAlternatingMap.codRestrict · cited by 1ContinuousAlternatingMap.…ContinuousAlternatingMap.coe_toAlternatingMap · cited by 0ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMap_add · cited by 0ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFin · cited by 0ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMap_curryLeft · cited by 0ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMap_smul · cited by 0ContinuousAlternatingMap.…ContinuousAlternatingMap.toAlternatingMap_zero · cited by 0ContinuousAlternatingMap.…TopologicalSpace · cited by 24529TopologicalSpaceModule · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidAlternatingMap · cited by 329AlternatingMapContinuousAlternatingMap · cited by 292ContinuousAlternatingMapContinuousAlternatingMap.toContinuousMultilinearMap · cited by 72ContinuousAlternatingMap.…ContinuousMultilinearMap.toMultilinearMap · cited by 70ContinuousMultilinearMap.…ContinuousAlternatingMap.map_eq_zero_of_eq' · cited by 2ContinuousAlternatingMap.…ContinuousAlternatingMap.toAl…CITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by22

Results whose statement or proof uses this declaration.