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Theorems · Theorem · general topology

IsHomeomorph.isQuotientMap

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  IsHomeomorph f → Topology.IsQuotientMap f
Defined in
Mathlib.Topology.Homeomorph.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsUnit.isQuotientMap_smul · cited by 2IsUnit.isQuotientMap_smulisHomeomorph_iff_isQuotientMap_injective · cited by 0isHomeomorph_iff_isQuotie…TopologicalSpace · cited by 24529TopologicalSpaceTopology.IsQuotientMap · cited by 124Topology.IsQuotientMapIsHomeomorph · cited by 69IsHomeomorphHomeomorph.isQuotientMap · cited by 22Homeomorph.isQuotientMapIsHomeomorph.homeomorph · cited by 18IsHomeomorph.homeomorphIsHomeomorph.isQuotientMapCITED BYCITES

Cites5

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Cited by2

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