Theorems · Theorem · general topology
Topology.IsQuotientMap.liftEquiv_apply
∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
[inst_2 : TopologicalSpace Z] {f : C(X, Y)} (hf : Topology.IsQuotientMap ⇑f)
(g : { g // Function.FactorsThrough ⇑g ⇑f }), hf.liftEquiv g = hf.lift ↑g ⋯- Defined in
- Mathlib.Topology.ContinuousMap.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Equivstatement · cited by 8,337
- ContinuousMapstatement and proof · cited by 2,491
- Topology.IsQuotientMapstatement and proof · cited by 124
- Function.FactorsThroughstatement and proof · cited by 20
- Topology.IsQuotientMap.liftstatement · cited by 6
- Topology.IsQuotientMap.liftEquivstatement and proof · cited by 3
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