Theorems · Theorem · general topology
Homeomorph.isOpenMap
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y), IsOpenMap ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- IsOpenMapstatement · cited by 253
- Homeomorph.isOpen_imageproof · cited by 7
Cited by30
Results whose statement or proof uses this declaration.
- Homeomorph.isOpenEmbeddingproof · cited by 28
- Homeomorph.isHomeomorphproof · cited by 19
- Homeomorph.preimage_closureproof · cited by 9
- Homeomorph.isOpenQuotientMapproof · cited by 5
- isOpenMap_add_leftproof · cited by 4
- PiLp.isOpenMap_applyproof · cited by 4
- isOpenMap_add_rightproof · cited by 3
- IsHomeomorphicTrivialFiberBundle.isOpenMap_projproof · cited by 3
- isOpenMap_mul_rightproof · cited by 3
- isOpenMap_smulproof · cited by 3
- isOpenMap_smul₀proof · cited by 3
- Homeomorph.preimage_frontierproof · cited by 3