Theorems · Theorem · general topology
UniformSpace.hausdorff.isUniformInducing_closure
∀ {α : Type u_1} [inst : UniformSpace α], IsUniformInducing closure- Defined in
- Mathlib.Topology.UniformSpace.Closeds
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- Set.preimageproof · cited by 4,946
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- UniformSpacestatement and proof · cited by 2,040
- closurestatement and proof · cited by 1,254
- uniformityproof · cited by 765
- le_imp_le_of_le_of_leproof · cited by 576
- subset_closureproof · cited by 309
- SetRel.compproof · cited by 136
- IsUniformInducingstatement · cited by 128
- Filter.basis_setsproof · cited by 105
Cited by2
Results whose statement or proof uses this declaration.
- TopologicalSpace.Closeds.isUniformInducing_closureproof · cited by 1
- UniformSpace.hausdorff.nhds_closureproof · cited by 0