Theorems · Theorem · algebraic topology
GenLoop.ext_iff
∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} {f g : ↑(GenLoop N X x)},
f = g ↔ ∀ (y : N → ↑unitInterval), f y = g y- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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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
- 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
- unitIntervalstatement and proof · cited by 607
- GenLoopstatement and proof · cited by 44
- GenLoop.extproof · cited by 5
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