Theorems · Theorem · algebraic topology
GenLoop.ext
∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} (f g : ↑(GenLoop N X x)),
(∀ (y : N → ↑unitInterval), f y = g y) → f = g- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- DFunLike.coe_injectiveproof · cited by 161
- GenLoopstatement and proof · cited by 44
Cited by5
Results whose statement or proof uses this declaration.
- GenLoop.copy_eqproof · cited by 2
- GenLoop.transAt_distribproof · cited by 1
- GenLoop.to_fromproof · cited by 0
- GenLoop.homotopicToproof · cited by 0
- GenLoop.ext_iffproof · cited by 0