Theorems · Theorem · algebraic topology

GenLoop.fromLoop_trans_toLoop

∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} [inst_1 : DecidableEq N] {i : N}
  {p q : ↑(GenLoop N X x)},
  GenLoop.fromLoop i (Path.trans (GenLoop.toLoop i p) (GenLoop.toLoop i q)) = GenLoop.transAt i p q

Defined in

Mathlib.Topology.Homotopy.HomotopyGroup

Cited by

2 results in Mathlib

Foundations

Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceDecidableEq