let T be _Tree; for a, b, c being Vertex of T holds MiddleVertex a,b,c = MiddleVertex c,b,a
let a, b, c be Vertex of T; MiddleVertex a,b,c = MiddleVertex c,b,a
thus MiddleVertex a,b,c =
MiddleVertex c,a,b
by Th44
.=
MiddleVertex c,b,a
by Th41
; verum