Theorems · Theorem · general topology
UniformEquiv.isUniformInducing
∀ {α : Type u} {β : Type u_1} [inst : UniformSpace α] [inst_1 : UniformSpace β] (h : α ≃ᵤ β), IsUniformInducing ⇑h- Defined in
- Mathlib.Topology.UniformSpace.Equiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
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.
- DFunLike.coestatement · cited by 62,936
- UniformSpacestatement and proof · cited by 2,040
- IsUniformInducingstatement and proof · cited by 128
- UniformEquivstatement and proof · cited by 80
- UniformEquiv.symmproof · cited by 28
- UniformEquiv.uniformContinuousproof · cited by 5
- IsUniformInducing.of_compproof · cited by 5
- UniformEquiv.symm_comp_selfproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- UniformEquiv.isUniformEmbeddingproof · cited by 5
- UniformEquiv.comap_eqproof · cited by 0
- EquicontinuousOn.isUniformInducing_uniformOnFun_iff_piproof · cited by 0