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+theory "List+"
+imports
+ Spartan.List
+ Nat
+
+begin
+
+section \<open>Length\<close>
+
+definition [implicit]: "len \<equiv> ListRec ? Nat 0 (fn _ _ rec. suc rec)"
+
+experiment begin
+ Lemma "len [] \<equiv> ?n" by (subst comp)
+ Lemma "len [0, suc 0, suc (suc 0)] \<equiv> ?n" by (subst comp)
+end
+
+
+end