Theorems · Definition · general topology
UniformFun.toFun
{α : Type u_1} → {β : Type u_2} → UniformFun α β ≃ (α → β)Reinterpret f : α →ᵤ β as an element of α → β.
- Cited by
- 47 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Equiv.symmproof · cited by 3,681
- UniformFunstatement · cited by 106
- UniformFun.ofFunproof · cited by 78
Cited by49
Results whose statement or proof uses this declaration.
- UniformFun.genproof · cited by 17
- UniformFun.hasBasis_uniformity_of_basisproof · cited by 8
- UniformFun.postcomp_isUniformInducingstatement and proof · cited by 6
- UniformFun.tendsto_iff_tendstoUniformlystatement and proof · cited by 4
- UniformFun.lipschitzWith_iffstatement and proof · cited by 3
- Equicontinuous.comap_uniformFun_eqproof · cited by 3
- UniformFun.precomp_uniformContinuousstatement and proof · cited by 2
- UniformOnFun.uniformity_eq_of_basisproof · cited by 2
- UniformFun.uniformContinuous_evalstatement and proof · cited by 2
- UniformFun.uniformContinuous_toFunstatement · cited by 2
- UniformFun.hasBasis_nhds_zero_of_basisstatement and proof · cited by 1
- UniformFun.isClosed_setOfPred_continuousstatement and proof · cited by 1