Theorems · Theorem · general topology
Homeomorph.isClosedMap
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y), IsClosedMap ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 76 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
- IsClosedMapstatement · cited by 138
- Homeomorph.isClosed_imageproof · cited by 8
Cited by18
Results whose statement or proof uses this declaration.
- Homeomorph.isClosedEmbeddingproof · cited by 37
- Homeomorph.isProperMapproof · cited by 6
- isClosedMap_add_rightproof · cited by 2
- isClosedMap_mul_rightproof · cited by 2
- isClosedMap_smulproof · cited by 2
- isClosedMap_smul_of_ne_zeroproof · cited by 2
- isClosedMap_smul₀proof · cited by 2
- IsHomeomorph.isClosedMapproof · cited by 2
- isClosedMap_add_leftproof · cited by 1
- isClosedMap_mul_leftproof · cited by 1
- isClosedMap_vaddproof · cited by 1
- isClosedMap_div_leftproof · cited by 0