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+
+Require Coq.Program.Tactics.
+
+Record Matrix (m n : nat).
+
+Definition kp {m n p q: nat} (A: Matrix m n) (B: Matrix p q):
+ Matrix (m*p) (n*q). Admitted.
+
+Fail Program Fact kp_assoc
+ (xr xc yr yc zr zc: nat)
+ (x: Matrix xr xc) (y: Matrix yr yc) (z: Matrix zr zc):
+ kp x (kp y z) = kp (kp x y) z.
+
+Ltac Obligation Tactic := admit.
+Fail Program Fact kp_assoc
+ (xr xc yr yc zr zc: nat)
+ (x: Matrix xr xc) (y: Matrix yr yc) (z: Matrix zr zc):
+ kp x (kp y z) = kp (kp x y) z.
+
+Axiom cheat : forall {A}, A.
+Obligation Tactic := apply cheat.
+
+Program Fact kp_assoc
+ (xr xc yr yc zr zc: nat)
+ (x: Matrix xr xc) (y: Matrix yr yc) (z: Matrix zr zc):
+ kp x (kp y z) = kp (kp x y) z.
+admit.
+Admitted. \ No newline at end of file