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Diffstat (limited to '')
-rw-r--r-- | hott/More_List.thy | 22 |
1 files changed, 21 insertions, 1 deletions
diff --git a/hott/More_List.thy b/hott/More_List.thy index 2f868b8..aa57635 100644 --- a/hott/More_List.thy +++ b/hott/More_List.thy @@ -1,8 +1,28 @@ theory More_List -imports Spartan.List +imports + Spartan.List + Nat begin +experiment begin + Lemma "map (\<lambda>n: Nat. suc n) [0, suc (suc 0), suc 0] \<equiv> ?xs" + unfolding map_def by (subst comps)+ +end + +section \<open>Length\<close> + +definition [implicit]: + "len \<equiv> ListRec ? Nat 0 (\<lambda>_ _ n. suc n)" + +experiment begin + Lemma "len [] \<equiv> 0" by reduce + Lemma "len [0, suc 0, suc (suc 0)] \<equiv> ?n" by (subst comps)+ +end + +section \<open>Equality on lists\<close> + +(*Hmmm.*) end |