Theorems · Theorem · general topology
HasCompactSupport.uniformContinuous_of_continuous
∀ {α : Type u_1} {β : Type u_2} [inst : UniformSpace α] [inst_1 : UniformSpace β] {f : α → β} [inst_2 : Zero β],
HasCompactSupport f → Continuous f → UniformContinuous f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpaceZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Continuousstatement and proof · cited by 2,592
- UniformSpacestatement and proof · cited by 2,040
- UniformContinuousstatement · cited by 410
- HasCompactSupportstatement and proof · cited by 196
- Continuous.uniformContinuous_of_tendsto_cocompactproof · cited by 4
- HasCompactSupport.is_zero_at_inftyproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_integral_exp_inner_smul_cocompact_of_continuous_compact_supportproof · cited by 1