Theorems · Theorem · functional analysis
UniformSpace.Completion.norm_toComplL
∀ {𝕜 : Type u_3} {E : Type u_4} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [Nontrivial E], ‖UniformSpace.Completion.toComplL‖ = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- Nontrivialstatement and proof · cited by 2,416
- UniformSpace.Completionstatement · cited by 192
- LinearIsometry.norm_toContinuousLinearMapproof · cited by 13
- UniformSpace.Completion.toComplLstatement · cited by 11
- UniformSpace.Completion.toComplₗᵢproof · cited by 5
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