Theorems · Theorem · algebraic topology

GenLoop.to_from

∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} [inst_1 : DecidableEq N] (i : N)
  (p : LoopSpace (↑(GenLoop { j // j ≠ i } X x)) GenLoop.const), GenLoop.toLoop i (GenLoop.fromLoop i p) = p

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