apply reduction_homotopic_self
V : Type u
E : Type v
inst✝¹ : DecidableEq V
inst✝ : DecidableEq E
G✝ : Graph V E
x₀✝ : V
G : Graph V E
x₀ τ : V
p₁ p₂ : EdgePath G x₀ τ
hyp :
  liftTerminal (proj G x₀) (basepoint G x₀)
      (_ : (proj G x₀).toFuncV (basepoint G x₀) = (proj G x₀).toFuncV (basepoint G x₀)) p₁ =
    liftTerminal (proj G x₀) (basepoint G x₀)
      (_ : (proj G x₀).toFuncV (basepoint G x₀) = (proj G x₀).toFuncV (basepoint G x₀)) p₂
⊢ [[reduction p₁]] = [[p₁]]
no goals