diff options
author | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
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committer | Samuel Mimram <samuel.mimram@ens-lyon.org> | 2004-07-28 21:54:47 +0000 |
commit | 6b649aba925b6f7462da07599fe67ebb12a3460e (patch) | |
tree | 43656bcaa51164548f3fa14e5b10de5ef1088574 /test-suite/ideal-features/Case4.v |
Imported Upstream version 8.0pl1upstream/8.0pl1
Diffstat (limited to 'test-suite/ideal-features/Case4.v')
-rw-r--r-- | test-suite/ideal-features/Case4.v | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/test-suite/ideal-features/Case4.v b/test-suite/ideal-features/Case4.v new file mode 100644 index 00000000..d8f14a4e --- /dev/null +++ b/test-suite/ideal-features/Case4.v @@ -0,0 +1,39 @@ +Inductive listn : nat-> Set := + niln : (listn O) +| consn : (n:nat)nat->(listn n) -> (listn (S n)). + +Inductive empty : (n:nat)(listn n)-> Prop := + intro_empty: (empty O niln). + +Parameter inv_empty : (n,a:nat)(l:(listn n)) ~(empty (S n) (consn n a l)). + +Type +[n:nat] [l:(listn n)] + <[n:nat] [l:(listn n)](empty n l) \/ ~(empty n l)>Cases l of + niln => (or_introl ? ~(empty O niln) intro_empty) + | ((consn n O y) as b) => (or_intror (empty (S n) b) ? (inv_empty n O y)) + | ((consn n a y) as b) => (or_intror (empty (S n) b) ? (inv_empty n a y)) + + end. + + +Type +[n:nat] [l:(listn n)] + <[n:nat] [l:(listn n)](empty n l) \/ ~(empty n l)>Cases l of + niln => (or_introl ? ~(empty O niln) intro_empty) + | (consn n O y) => (or_intror (empty (S n) (consn n O y)) ? + (inv_empty n O y)) + | (consn n a y) => (or_intror (empty (S n) (consn n a y)) ? + (inv_empty n a y)) + + end. + +Type +[n:nat] [l:(listn n)] + <[n:nat] [l:(listn n)](empty n l) \/ ~(empty n l)>Cases l of + niln => (or_introl ? ~(empty O niln) intro_empty) + | ((consn O a y) as b) => (or_intror (empty (S O) b) ? (inv_empty O a y)) + | ((consn n a y) as b) => (or_intror (empty (S n) b) ? (inv_empty n a y)) + + end. + |