∀ {N : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {x : X} [inst_1 : DecidableEq N] [inst_2 : Nonempty N]
  {i : N} {p q : ↑(GenLoop N X x)}, (fun x1 x2 => x1 * x2) ⟦p⟧ ⟦q⟧ = ⟦GenLoop.transAt i q p⟧