apply reduced_redCons
case a
V : Type u
E : Type v
inst✝¹ : DecidableEq V
inst✝ : DecidableEq E
G : Graph V E
v w u : V
p : EdgePath G v w
e : EdgeBetween G w u
hyp : reduced p
⊢ reduced (redCons (EdgeBetween.bar e) (reverse p))
case a.hyp
V : Type u
E : Type v
inst✝¹ : DecidableEq V
inst✝ : DecidableEq E
G : Graph V E
v w u : V
p : EdgePath G v w
e : EdgeBetween G w u
hyp : reduced p
⊢ reduced (reverse p)