Theorems · Theorem · functional analysis
ContinuousAlternatingMap.fderivCompContinuousLinearMap_of_isEmpty
∀ {𝕜 : Type u} {E : Type wE} {F : Type wF} {G : Type wG} {ι : Type v} [inst : NontriviallyNormedField 𝕜]
[inst_1 : SeminormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : SeminormedAddCommGroup F]
[inst_4 : NormedSpace 𝕜 F] [inst_5 : SeminormedAddCommGroup G] [inst_6 : NormedSpace 𝕜 G] [inst_7 : Fintype ι]
[inst_8 : DecidableEq ι] [IsEmpty ι], ContinuousAlternatingMap.fderivCompContinuousLinearMap = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Fintypestatement and proof · cited by 7,736
- ContinuousLinearMapstatement and proof · cited by 5,352
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Finset.sum_congrproof · cited by 2,323
- IsEmptystatement and proof · cited by 759
- Function.updateproof · cited by 502
- ContinuousLinearMap.extproof · cited by 320
- ContinuousAlternatingMapstatement and proof · cited by 292
Cited by1
Results whose statement or proof uses this declaration.