I agree Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our website without changing the browser settings you grant us permission to store that information on your device.

Download Files
### Definitions File

### Template File

### Check File

theory Defs imports Main begin end

theory Template imports Defs begin fun contains :: "'a \<Rightarrow> 'a list \<Rightarrow> bool" where "contains _ _ = undefined" fun ldistinct :: "'a list \<Rightarrow> bool" where "ldistinct _ = undefined" lemma ldistinct_rev: "ldistinct (rev xs) \<longleftrightarrow> ldistinct xs" sorry lemma length_fold: "length_fold xs = length xs" sorry lemma length_foldr: "length_foldr xs = length xs" sorry fun slice :: "'a list \<Rightarrow> nat \<Rightarrow> nat \<Rightarrow> 'a list" where "slice _ _ _ = undefined" lemma slice_append: "slice xs s l1 @ slice xs (s+l1) l2 = slice xs s (l1+l2)" sorry lemma ldistinct_slice: "ldistinct xs \<Longrightarrow> ldistinct (slice xs s l)" sorry end

theory Check imports Submission begin lemma ldistinct_rev: "ldistinct (rev xs) \<longleftrightarrow> ldistinct xs" by (rule ldistinct_rev) lemma length_fold: "length_fold xs = length xs" by (rule length_fold) lemma length_foldr: "length_foldr xs = length xs" by (rule length_foldr) lemma slice_append: "slice xs s l1 @ slice xs (s+l1) l2 = slice xs s (l1+l2)" by (rule slice_append) lemma ldistinct_slice: "ldistinct xs \<Longrightarrow> ldistinct (slice xs s l)" by (rule ldistinct_slice) end

Terms and Conditions