Theorems · Theorem · algebraic topology

GenLoop.toLoop_apply

∀ {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} {tn : { j // j ≠ i } → ↑unitInterval},
  ((GenLoop.toLoop i p) t) tn = p ((Cube.insertAt i) (t, tn))

Defined in

Mathlib.Topology.Homotopy.HomotopyGroup

Cited by

1 results in Mathlib

Foundations

Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceDecidableEq