Theorems · Theorem · functional analysis
Unitization.nnnorm_inr
∀ {𝕜 : Type u_1} {A : Type u_2} [inst : NontriviallyNormedField 𝕜] [inst_1 : NonUnitalNormedRing A]
[inst_2 : NormedSpace 𝕜 A] [inst_3 : IsScalarTower 𝕜 A A] [inst_4 : SMulCommClass 𝕜 A A]
[inst_5 : RegularNormedAlgebra 𝕜 A] (a : A), ‖↑a‖₊ = ‖a‖₊- Cited by
- 2 results in Mathlib
- Foundations
- Depth 192 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.
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- NNRealstatement · cited by 4,310
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- NNNorm.nnnormstatement · cited by 952
- NonUnitalNormedRingstatement and proof · cited by 231
- Unitizationstatement · cited by 220
- NNReal.eqproof · cited by 201
- Unitization.inrstatement · cited by 109
- RegularNormedAlgebrastatement and proof · cited by 26
- Unitization.norm_inrproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgHom.nnnorm_apply_leproof · cited by 2
- CStarAlgebra.le_nnnorm_of_mem_quasispectrumproof · cited by 1