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Diffstat (limited to 'test-suite/bugs/closed/4723.v')
-rw-r--r-- | test-suite/bugs/closed/4723.v | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/test-suite/bugs/closed/4723.v b/test-suite/bugs/closed/4723.v new file mode 100644 index 00000000..88848121 --- /dev/null +++ b/test-suite/bugs/closed/4723.v @@ -0,0 +1,28 @@ + +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.
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