
diff -r 5b01f7c233f8 -r a33d3040bf7e thys/CountSnoc.thy
--- a/thys/CountSnoc.thy	Tue Feb 02 02:27:16 2016 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,39 +0,0 @@
-theory CountSnoc
-imports Main
-begin
-
-
-datatype 'a myList = Nil | Cons 'a "'a myList"
-
-fun app_list :: "'a myList \<Rightarrow> 'a myList \<Rightarrow> 'a myList" where
-"app_list Nil ys = ys" |
-"app_list (Cons x xs) ys = Cons x (app_list xs ys)"
-
-fun rev_list :: "'a myList \<Rightarrow> 'a myList" where
-"rev_list Nil = Nil" |
-"rev_list (Cons x xs) = app_list (rev_list xs) (Cons x Nil)"
-
-fun count_list :: "'a \<Rightarrow> 'a list \<Rightarrow> nat" where
-"count_list x [] = 0" |
-"count_list x (y#xs) = (
-  if x = y then Suc(count_list x xs) 
-  else count_list x xs)"
-
-value "count_list (1::nat) [1,1,1]"
-value "count_list (1::nat) [2,2,2]"
-value "count_list (2::nat) [2,2,1]"
-
-lemma count1: "count_list n (xs @ ys) = count_list n xs + count_list n ys"
-apply(induct xs)
-apply(auto)
-done
- 
-thm count1
-thm refl
-thm conjI[OF refl[of "a"] refl[of "b"]]
-thm conjI[OF conjI]
- 
-
-
-
-




