apply reduced_liftTerminal_factor
V : Type u
E : Type v
inst✝¹ : DecidableEq V
inst✝ : DecidableEq E
G : Graph V E
x₀ : V
H : Subgroup (π₁ G x₀)
w₂ : V
e : EdgePath G x₀ w₂
hyp : reduced e
⊢ liftTerminal (groupCoverProj H) (basepoint H)
      (_ : (groupCoverProj H).toFuncV (basepoint H) = (groupCoverProj H).toFuncV (basepoint H)) e =
    ⟦{ τ := w₂, p := e, is_reduced := hyp }⟧
no goals