apply path_class_of_contains_path
V : Type u_1
E : Type u_2
G : Graph V E
Γ : SpanningSubtree G
u v : V
e : EdgeBetween G u v
heΓ : e.edge ∈ Γ.edges
⊢ [[singletonPath e]] = u ⤳[Γ] v
case hpΓ
V : Type u_1
E : Type u_2
G : Graph V E
Γ : SpanningSubtree G
u v : V
e : EdgeBetween G u v
heΓ : e.edge ∈ Γ.edges
⊢ Subgraph.contains Γ.toSubgraph (singletonPath e)