Theorems · Definition · general topology
UniformOnFun.toFun
{α : Type u_1} → {β : Type u_2} → (𝔖 : Set (Set α)) → UniformOnFun α β 𝔖 ≃ (α → β)Reinterpret f : α →ᵤ[𝔖] β as an element of α → β.
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- UniformOnFunstatement · cited by 150
- UniformOnFun.ofFunproof · cited by 63
Cited by89
Results whose statement or proof uses this declaration.
- UniformOnFun.genproof · cited by 18
- hasSumUniformlyOn_iff_tendstoUniformlyOnproof · cited by 12
- hasProdUniformlyOn_iff_tendstoUniformlyOnproof · cited by 7
- UniformOnFun.tendsto_iff_tendstoUniformlyOnstatement and proof · cited by 5
- UniformOnFun.postcomp_isUniformInducingstatement and proof · cited by 4
- UniformOnFun.uniformContinuous_eval_of_memstatement · cited by 4
- UniformOnFun.uniformContinuous_ofFun_toFun_of_memstatement · cited by 4
- UniformOnFun.precomp_uniformContinuousstatement and proof · cited by 3
- UniformOnFun.uniformContinuous_evalstatement · cited by 3
- UniformOnFun.gen_monoproof · cited by 3
- UniformOnFun.hasBasis_nhds_zero_of_basisstatement and proof · cited by 3
- UniformOnFun.isClosed_setOfPred_continuousstatement and proof · cited by 3