branch for universe

[helm.git] / components / cic_disambiguation / tests / match.txt

diff --git a/components/cic_disambiguation/tests/match.txt b/components/cic_disambiguation/tests/match.txt
new file mode 100644 (file)
index 0000000..87bb015
--- /dev/null
+++ b/components/cic_disambiguation/tests/match.txt
@@ -0,0 +1,49 @@
+[\lambda x:nat.
+  [\lambda y:nat. Set]
+    match x:nat with [ O \Rightarrow nat | (S x) \Rightarrow bool ]]
+match (S O):nat with
+[ O \Rightarrow O
+| (S x) \Rightarrow false ]
+
+[\lambda z:nat. \lambda h:(le O z). (eq nat O O)]
+match (le_n O): le with
+[ le_n \Rightarrow (refl_equal nat O)
+| (le_S x y) \Rightarrow (refl_equal nat O) ]
+
+[\lambda z:nat. \lambda h:(le (plus (plus O O) (plus O O)) z). (eq nat (plus (plus O O) (plus O O)) (plus (plus O O) (plus O O)))]
+match (le_n (plus (plus O O) (plus O O))): le with
+[ le_n \Rightarrow (refl_equal nat (plus (plus O O) (plus O O)))
+| (le_S x y) \Rightarrow (refl_equal nat (plus (plus O O) (plus O O))) ]
+
+(*
+[\lambda z:nat. \lambda h:(le 1 z). (le 0 z)]
+match (le_S 2 (le_n 1)): le with
+[ le_n \Rightarrow (le_S 1 (le_n 0))
+| (le_S x y) \Rightarrow y ]
+*)
+
+[\lambda z:nat. \lambda h:(le 0 z). (le 0 (S z))]
+match (le_S 0 0 (le_n 0)): le with
+[ le_n \Rightarrow (le_S 0 0 (le_n 0))
+| (le_S x y) \Rightarrow (le_S 0 (S x) (le_S 0 x y)) ]
+
+
+[\lambda x:bool. nat]
+match true:bool with
+[ true \Rightarrow O
+| false \Rightarrow (S O) ]
+
+[\lambda x:nat. nat]
+match O:nat with
+[ O \Rightarrow O
+| (S x) \Rightarrow (S (S x)) ]
+
+[\lambda x:list. list]
+match nil:list with
+[ nil \Rightarrow nil
+| (cons x y) \Rightarrow (cons x y) ]
+
+\lambda x:False.
+  [\lambda h:False. True]
+  match x:False with []
+