Theorems · Theorem · general topology
MonoidHomClass.uniformContinuous_of_bound
∀ {𝓕 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : SeminormedGroup E] [inst_1 : SeminormedGroup F]
[inst_2 : FunLike 𝓕 E F] [MonoidHomClass 𝓕 E F] (f : 𝓕) (C : ℝ), (∀ (x : E), ‖f x‖ ≤ C * ‖x‖) → UniformContinuous ⇑f- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- FunLikestatement and proof · cited by 2,560
- UniformContinuousstatement · cited by 410
- SeminormedGroupstatement and proof · cited by 250
- MonoidHomClassstatement and proof · cited by 244
- LipschitzWith.uniformContinuousproof · cited by 33
- MonoidHomClass.lipschitz_of_boundproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.