Theorems · Theorem · general topology
Homeomorph.isQuotientMap
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Topology.IsQuotientMap ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 22 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.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- Topology.IsQuotientMapstatement and proof · cited by 124
- Homeomorph.continuousproof · cited by 53
- Homeomorph.self_comp_symmproof · cited by 5
- Topology.IsQuotientMap.of_compproof · cited by 3
Cited by22
Results whose statement or proof uses this declaration.
- Topology.IsQuotientMap.isStrictMap_iffproof · cited by 8
- Homeomorph.isOpen_preimageproof · cited by 7
- Homeomorph.comp_continuous_iff'proof · cited by 4
- Topology.IsGeneratedBy.continuous_iffproof · cited by 3
- isQuotientCoveringMap_npowproof · cited by 2
- IsAddQuotientCoveringMap.homeomorph_compproof · cited by 2
- Topology.IsGeneratedBy.isOpen_iffproof · cited by 2
- IsQuotientCoveringMap.homeomorph_compproof · cited by 2
- IsHomeomorph.isQuotientMapproof · cited by 2
- smul_connectedComponentproof · cited by 1
- vadd_connectedComponentproof · cited by 1
- Circle.isQuotientCoveringMap_zpowproof · cited by 1