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Theorems · Theorem · general topology

Topology.IsQuotientMap.isStrictMap

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  Topology.IsQuotientMap f → Topology.IsStrictMap f

A quotient map is strict. See also isQuotientMap_iff_isStrictMap_surjective.

Defined in
Mathlib.Topology.Maps.Strict.Basic
Cited by
1 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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Topology.isQuotientMap_iff_isStrictMap_surjective · cited by 0Topology.isQuotientMap_if…TopologicalSpace · cited by 24529TopologicalSpaceTopology.IsQuotientMap · cited by 124Topology.IsQuotientMapTopology.IsStrictMap · cited by 45Topology.IsStrictMapTopology.IsQuotientMap.isStrictMap_iff · cited by 8IsQuotientMap.isStrictMap…Topology.IsStrictMap.id · cited by 2IsStrictMap.idIsQuotientMap.isStrictMapCITED BYCITES

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