V : Type u
V' : Type v
V'' : Type w
G : SimpleGraph V
G' : SimpleGraph V'
G'' : SimpleGraph V''
u' v' w' : V
p : Walk G u' v'
q : Walk G v' w'
⊢ append (Walk.copy p (_ : u' = u') (_ : v' = v')) (Walk.copy q (_ : v' = v') (_ : w' = w')) =
    Walk.copy (append p q) (_ : u' = u') (_ : w' = w')
V : Type u
V' : Type v
V'' : Type w
G : SimpleGraph V
G' : SimpleGraph V'
G'' : SimpleGraph V''
u v w u' v' w' : V
p : Walk G u v
q : Walk G v w
hu : u = u'
hv : v = v'
hw : w = w'
⊢ append (Walk.copy p hu hv) (Walk.copy q hv hw) = Walk.copy (append p q) hu hw
subst_vars
no goals
V : Type u
V' : Type v
V'' : Type w
G : SimpleGraph V
G' : SimpleGraph V'
G'' : SimpleGraph V''
u' v' w' : V
p : Walk G u' v'
q : Walk G v' w'
⊢ append (Walk.copy p (_ : u' = u') (_ : v' = v')) (Walk.copy q (_ : v' = v') (_ : w' = w')) =
    Walk.copy (append p q) (_ : u' = u') (_ : w' = w')
rfl