Theorems · Theorem · functional analysis
ContinuousAlternatingMap.nnnorm_constOfIsEmpty
∀ (𝕜 : Type u) (E : Type wE) {F : Type wF} {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 : Fintype ι] [inst_6 : IsEmpty ι] (x : F),
‖ContinuousAlternatingMap.constOfIsEmpty 𝕜 E ι x‖₊ = ‖x‖₊- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Fintypestatement and proof · cited by 7,736
- NNRealstatement · cited by 4,310
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNNorm.nnnormstatement · cited by 952
- IsEmptystatement and proof · cited by 759
- ContinuousAlternatingMapstatement · cited by 292
- NNReal.eqproof · cited by 201
- ContinuousAlternatingMap.constOfIsEmptystatement · cited by 9
- ContinuousAlternatingMap.norm_constOfIsEmptyproof · cited by 1
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