intros a b c d; case a; case b; case c; case d; unfold eqT in |- *;
simpl in |- *; auto.
intros A0' c0 d2 c2 H' c3 H'0 c4 H'1 H'2 H'3 H'4; rewrite H'3; rewrite H'4;
auto.
Qed.

(* Specifications: *)
Theorem eqTerm_divTerm_comp :
forall (a b c d : Term A n) (nZc : ~ zeroP (A:=A) A0 eqA (n:=n) c)
(nZd : ~ zeroP (A:=A) A0 eqA (n:=n) d),
eqTerm (A:=A) eqA (n:=n) a b ->
eqTerm (A:=A) eqA (n:=n) c d ->
eqTerm (A:=A) eqA (n:=n) (divTerm a nZc) (divTerm b nZd).