intros p q p' q' H' H'0 H'1.
elim H'0; intros H'2 H'3; elim H'3; intros H'4 H'5; apply H'5; clear H'3 H'0.
case H'1; auto.
apply Rle_trans with q; auto.
apply Rlt_le; auto.
apply isMax_inv1 with (1 := H'1); auto.
Qed.
(* Minimun is defined upto equality *)

Theorem MinEq :
forall (p q : float) (r : R), isMin r p -> isMin r q -> p = q :>R.