intros x y z; case x; case y; case z; simpl in |- *; intuition.
apply (eqA_trans _ _ _ _ _ _ _ _ _ cs) with (y := a0); auto.
rewrite H2; auto.
Qed.
Set Implicit Arguments.
Unset Strict Implicit.
Definition T2M : Term -> mon n.
intros t; case t; intros a m; exact m.
Defined.
Set Strict Implicit.
Unset Implicit Arguments.
Set Implicit Arguments.
Unset Strict Implicit.
Definition eqT (a b : Term) : Prop := T2M a = T2M b.
Hint Unfold eqT.
Set Strict Implicit.
Unset Implicit Arguments.

Lemma eqT_refl : reflexive _ eqT.
red in |- *; auto.