Theorems · Theorem · functional analysis
Submodule.norm_subtypeL
∀ {𝕜 : Type u_1} {E : Type u_5} [inst : NormedAddCommGroup E] [inst_1 : NontriviallyNormedField 𝕜]
[inst_2 : NormedSpace 𝕜 E] (K : Submodule 𝕜 E) [Nontrivial ↥K], ‖K.subtypeL‖ = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Submodulestatement and proof · cited by 7,192
- Norm.normstatement · cited by 5,413
- ContinuousLinearMapstatement · cited by 5,352
- Nontrivialstatement and proof · cited by 2,416
- Submodule.subtypeLstatement · cited by 53
- Submodule.subtypeₗᵢproof · cited by 42
- LinearIsometry.norm_toContinuousLinearMapproof · cited by 13
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.