Theorems · Theorem · functional analysis
Unitization.antilipschitzWith_addEquiv
∀ {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], AntilipschitzWith 2 ⇑(Unitization.addEquiv 𝕜 A)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites45
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realproof · cited by 25,697
- RingHom.idproof · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normproof · cited by 5,413
- ContinuousLinearMapproof · cited by 5,352
- Algebra.algebraMapproof · cited by 4,706
- NNRealstatement · cited by 4,310
- IsScalarTowerstatement and proof · cited by 3,896
- Nontrivialproof · cited by 2,416
- SMulCommClassstatement and proof · cited by 1,927
Cited by2
Results whose statement or proof uses this declaration.
- Unitization.uniformity_eq_auxproof · cited by 0
- Unitization.cobounded_eq_auxproof · cited by 0