case cons ih => simp [append, ih p', snoc_cons]
V : Sort u_1
inst✝ : Quiver V
A B C D : V
e : C ⟶ D
A✝ B✝ C✝ : V
a✝¹ : A✝ ⟶ B✝
a✝ : Path B✝ C✝
ih : ∀ (p' : Path C✝ C), append a✝ (snoc p' e) = snoc (append a✝ p') e
p' : Path C✝ C
⊢ append (cons a✝¹ a✝) (snoc p' e) = snoc (append (cons a✝¹ a✝) p') e
no goals