Theorems · Theorem · general topology
ContinuousMap.sigmaCodHomeomorph_symm_apply
∀ (X : Type u_1) {ι : Type u_2} (Y : ι → Type u_3) [inst : TopologicalSpace X]
[inst_1 : (i : ι) → TopologicalSpace (Y i)] [inst_2 : ConnectedSpace X] (a : (i : ι) × C(X, Y i)),
(ContinuousMap.sigmaCodHomeomorph X Y).symm a = (ContinuousMap.sigmaMk a.fst).comp a.snd- Defined in
- Mathlib.Topology.ContinuousMap.Sigma
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- ContinuousMapstatement and proof · cited by 2,491
- Homeomorphstatement · cited by 725
- Homeomorph.symmstatement and proof · cited by 365
- ContinuousMap.compstatement · cited by 181
- ConnectedSpacestatement and proof · cited by 37
- ContinuousMap.sigmaMkstatement · cited by 5
- ContinuousMap.sigmaCodHomeomorphstatement and proof · cited by 1
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