exact ⟨H.edges_bar _ he, ih hp'H⟩
case cons
V : Type u_1
E : Type u_2
G : Graph V E
H : Subgraph G
u v v✝ w✝ u✝ : V
e : EdgeBetween G v✝ w✝
p' : EdgePath G w✝ u✝
ih : contains H p' → contains H (EdgePath.reverse p')
he : e.edge ∈ H.edges
hp'H : contains H p'
⊢ G.bar e.edge ∈ H.edges ∧ contains H (EdgePath.reverse p')
no goals