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