diff options
author | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
---|---|---|
committer | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
commit | 6b649aba925b6f7462da07599fe67ebb12a3460e (patch) | |
tree | 43656bcaa51164548f3fa14e5b10de5ef1088574 /test-suite/ideal-features/Apply.v |
Imported Upstream version 8.0pl1upstream/8.0pl1
Diffstat (limited to 'test-suite/ideal-features/Apply.v')
-rw-r--r-- | test-suite/ideal-features/Apply.v | 26 |
1 files changed, 26 insertions, 0 deletions
diff --git a/test-suite/ideal-features/Apply.v b/test-suite/ideal-features/Apply.v new file mode 100644 index 00000000..bba356f2 --- /dev/null +++ b/test-suite/ideal-features/Apply.v @@ -0,0 +1,26 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) + +(* This needs unification on type *) + +Goal (n,m:nat)(eq nat (S m) (S n)). +Intros. +Apply f_equal. + +(* f_equal : (A,B:Set; f:(A->B); x,y:A)x=y->(f x)=(f y) *) +(* and A cannot be deduced from the goal but only from the type of f, x or y *) + + +(* This needs step by step unfolding *) + +Fixpoint T [n:nat] : Prop := Cases n of O => True | (S p) => n=n->(T p) end. +Require Arith. + +Goal (T (3))->(T (1)). +Intro H. +Apply H. |