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] NProjection to AlternatingMaps.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- AlternatingMapstatement · cited by 329
- ContinuousAlternatingMapstatement and proof · cited by 292
- ContinuousAlternatingMap.toContinuousMultilinearMapproof · cited by 72
- ContinuousMultilinearMap.toMultilinearMapproof · cited by 70
- ContinuousAlternatingMap.map_eq_zero_of_eq'proof · cited by 2
Cited by22
Results whose statement or proof uses this declaration.
- ContinuousAlternatingMap.compContinuousLinearMapproof · cited by 24
- ContinuousLinearMap.compContinuousAlternatingMapproof · cited by 19
- ContinuousAlternatingMap.curryLeftproof · cited by 14
- ContinuousAlternatingMap.toAlternatingMapLinearproof · cited by 3
- ContinuousAlternatingMap.toAlternatingMapLinear_applystatement · cited by 2
- ContinuousAlternatingMap.smulRightproof · cited by 2
- ContinuousAlternatingMap.toAlternatingMap_injectivestatement and proof · cited by 1
- ContinuousAlternatingMap.map_insertNthproof · cited by 1
- ContinuousAlternatingMap.codRestrictproof · cited by 1
- ContinuousAlternatingMap.coe_toAlternatingMapstatement · cited by 0
- ContinuousAlternatingMap.toAlternatingMap_addstatement · cited by 0
- ContinuousAlternatingMap.toAlternatingMap_alternatizeUncurryFinstatement · cited by 0