Theorems · Theorem · general topology
UniformSpace.comap_iInf
∀ {ι : Sort u_2} {α : Type u_3} {γ : Type u_4} {u : ι → UniformSpace γ} {f : α → γ},
UniformSpace.comap f (⨅ i, u i) = ⨅ i, UniformSpace.comap f (u i)- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- iInfstatement and proof · cited by 1,690
- uniformityproof · cited by 765
- Filter.comapproof · cited by 546
- UniformSpace.comapstatement · cited by 61
- UniformSpace.extproof · cited by 34
- Filter.comap_iInfproof · cited by 23
- iInf_uniformityproof · cited by 19
Cited by9
Results whose statement or proof uses this declaration.
- Pi.uniformSpace_comap_precomp'proof · cited by 2
- UniformOnFun.comap_eqproof · cited by 2
- EquicontinuousOn.comap_uniformOnFun_eqproof · cited by 2
- UniformOnFun.iInf_eqproof · cited by 1
- UniformOnFun.uniformSpace_eq_iInf_precomp_of_coverproof · cited by 1
- UniformOnFun.uniformSpace_eq_inf_precomp_of_coverproof · cited by 1
- ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLMproof · cited by 0
- UniformOnFun.isUniformInducing_pi_restrictproof · cited by 0
- ContinuousMap.uniformSpace_eq_iInf_precomp_of_coverproof · cited by 0