Theorems · Definition · general topology
UniformFun
Type u_1 → Type u_2 → Type (max u_1 u_2)
The type of functions from α to β equipped with the uniform structure and topology of
uniform convergence. We denote it α →ᵤ β.
- Cited by
- 106 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by118
Results whose statement or proof uses this declaration.
- UniformFun.ofFunstatement and proof · cited by 78
- UniformFun.toFunstatement · cited by 47
- UniformFun.genstatement and proof · cited by 17
- UniformFun.hasBasis_uniformitystatement · cited by 12
- uniformEquicontinuous_iff_uniformContinuousstatement · cited by 9
- UniformFun.hasBasis_uniformity_of_basisstatement and proof · cited by 8
- equicontinuousAt_iff_continuousAtstatement · cited by 8
- UniformFun.hasBasis_nhds_of_basisstatement and proof · cited by 7
- UniformFun.iInf_eqstatement and proof · cited by 6
- UniformFun.postcomp_isUniformInducingstatement and proof · cited by 6
- uniformEquicontinuousOn_iff_uniformContinuousOnstatement · cited by 6
- UniformFun.hasBasis_nhdsstatement and proof · cited by 5