Theorems · Theorem · algebraic topology
GenLoop.toLoop_apply_coe
∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} [inst_1 : DecidableEq N] (i : N)
(p : ↑(GenLoop N X x)) (t : ↑unitInterval), ↑((GenLoop.toLoop i p) t) = ((↑p).comp ↑(Cube.insertAt i)).curry t- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceDecidableEq
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Cites16
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
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement and proof · cited by 7,166
- ContinuousMapstatement · cited by 2,491
- Homeomorphstatement · cited by 725
- unitIntervalstatement and proof · cited by 607
- Pathstatement · cited by 318
- ContinuousMap.compstatement · cited by 181
- toContinuousMapstatement · cited by 99
- GenLoopstatement and proof · cited by 44
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