src/HOL/Data_Structures/AA_Map.thy
changeset 68431 b294e095f64c
parent 68413 b56ed5010e69
     1.1 --- a/src/HOL/Data_Structures/AA_Map.thy	Tue Jun 12 07:18:18 2018 +0200
     1.2 +++ b/src/HOL/Data_Structures/AA_Map.thy	Tue Jun 12 17:18:40 2018 +0200
     1.3 @@ -207,10 +207,10 @@
     1.4                post_split_max post_delete split_maxD split: prod.splits)
     1.5  
     1.6  interpretation I: Map_by_Ordered
     1.7 -where empty = Leaf and lookup = lookup and update = update and delete = delete
     1.8 +where empty = empty and lookup = lookup and update = update and delete = delete
     1.9  and inorder = inorder and inv = invar
    1.10  proof (standard, goal_cases)
    1.11 -  case 1 show ?case by simp
    1.12 +  case 1 show ?case by (simp add: empty_def)
    1.13  next
    1.14    case 2 thus ?case by(simp add: lookup_map_of)
    1.15  next
    1.16 @@ -218,7 +218,7 @@
    1.17  next
    1.18    case 4 thus ?case by(simp add: inorder_delete)
    1.19  next
    1.20 -  case 5 thus ?case by(simp)
    1.21 +  case 5 thus ?case by(simp add: empty_def)
    1.22  next
    1.23    case 6 thus ?case by(simp add: invar_update)
    1.24  next