intros a b; case a; case b; simpl in |- *; auto.
intros d H' A0' H'0 H'1 nZd; auto.
apply (eqA_trans _ _ _ _ _ _ _ _ _ cs) with (y := divA A0 d nZd); auto.
apply divA_A0_l with (1 := cs).
Qed.

Theorem divTerm_on_eqT :
forall a b : Term A n,
~ zeroP (A:=A) A0 eqA (n:=n) a ->
forall nZb : ~ zeroP (A:=A) A0 eqA (n:=n) b,
eqT a b ->
eqTerm (A:=A) eqA (n:=n) a (multTerm (A:=A) multA (n:=n) (divTerm a nZb) b).