Theorems · Theorem · algebraic topology
GenLoop.continuous_fromLoop
∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} [inst_1 : DecidableEq N] (i : N),
Continuous (GenLoop.fromLoop i)- Defined in
- Mathlib.Topology.Homotopy.HomotopyGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemstatement · cited by 7,166
- Continuousstatement · cited by 2,592
- ContinuousMapstatement · cited by 2,491
- unitIntervalstatement · cited by 607
- Continuous.compproof · cited by 371
- toContinuousMapproof · cited by 99
- Continuous.subtype_mkproof · cited by 51
- continuous_induced_domproof · cited by 47
- GenLoopstatement · cited by 44
Cited by1
Results whose statement or proof uses this declaration.
- GenLoop.loopHomeoproof · cited by 5