let T be _Tree; for a, b, c being Vertex of T holds MiddleVertex a,b,c = MiddleVertex c,a,b
let a, b, c be Vertex of T; MiddleVertex a,b,c = MiddleVertex c,a,b
thus MiddleVertex a,b,c =
MiddleVertex a,c,b
by Th41
.=
MiddleVertex c,a,b
by Th42
; verum