--- a/src/HOL/Data_Structures/AVL_Bal_Set.thy Mon May 04 16:28:39 2020 +0200
+++ b/src/HOL/Data_Structures/AVL_Bal_Set.thy Mon May 04 23:34:46 2020 +0200
@@ -40,28 +40,28 @@
"rot22 b = (if b=Lh then Rh else Bal)"
fun balL :: "'a tree_bal change \<Rightarrow> 'a \<Rightarrow> bal \<Rightarrow> 'a tree_bal \<Rightarrow> 'a tree_bal change" where
-"balL AB' bc b C = (case AB' of
- Same AB \<Rightarrow> Same (Node AB (bc,b) C) |
- Diff AB \<Rightarrow> (case b of
- Bal \<Rightarrow> Diff (Node AB (bc,Lh) C) |
- Rh \<Rightarrow> Same (Node AB (bc,Bal) C) |
+"balL AB' c bc C = (case AB' of
+ Same AB \<Rightarrow> Same (Node AB (c,bc) C) |
+ Diff AB \<Rightarrow> (case bc of
+ Bal \<Rightarrow> Diff (Node AB (c,Lh) C) |
+ Rh \<Rightarrow> Same (Node AB (c,Bal) C) |
Lh \<Rightarrow> Same(case AB of
- Node A (ab,Lh) B \<Rightarrow> Node A (ab,Bal) (Node B (bc,Bal) C) |
+ Node A (ab,Lh) B \<Rightarrow> Node A (ab,Bal) (Node B (c,Bal) C) |
Node A (ab,Rh) B \<Rightarrow> (case B of
- Node B\<^sub>1 (bb, bB) B\<^sub>2 \<Rightarrow>
- Node (Node A (ab,rot21 bB) B\<^sub>1) (bb,Bal) (Node B\<^sub>2 (bc,rot22 bB) C)))))"
+ Node B\<^sub>1 (b, bb) B\<^sub>2 \<Rightarrow>
+ Node (Node A (ab,rot21 bb) B\<^sub>1) (b,Bal) (Node B\<^sub>2 (c,rot22 bb) C)))))"
fun balR :: "'a tree_bal \<Rightarrow> 'a \<Rightarrow> bal \<Rightarrow> 'a tree_bal change \<Rightarrow> 'a tree_bal change" where
-"balR A ab b BC' = (case BC' of
- Same BC \<Rightarrow> Same (Node A (ab,b) BC) |
- Diff BC \<Rightarrow> (case b of
- Bal \<Rightarrow> Diff (Node A (ab,Rh) BC) |
- Lh \<Rightarrow> Same (Node A (ab,Bal) BC) |
+"balR A a ba BC' = (case BC' of
+ Same BC \<Rightarrow> Same (Node A (a,ba) BC) |
+ Diff BC \<Rightarrow> (case ba of
+ Bal \<Rightarrow> Diff (Node A (a,Rh) BC) |
+ Lh \<Rightarrow> Same (Node A (a,Bal) BC) |
Rh \<Rightarrow> Same(case BC of
- Node B (bc,Rh) C \<Rightarrow> Node (Node A (ab,Bal) B) (bc,Bal) C |
+ Node B (bc,Rh) C \<Rightarrow> Node (Node A (a,Bal) B) (bc,Bal) C |
Node B (bc,Lh) C \<Rightarrow> (case B of
- Node B\<^sub>1 (bb, bB) B\<^sub>2 \<Rightarrow>
- Node (Node A (ab,rot21 bB) B\<^sub>1) (bb,Bal) (Node B\<^sub>2 (bc,rot22 bB) C)))))"
+ Node B\<^sub>1 (b, bb) B\<^sub>2 \<Rightarrow>
+ Node (Node A (a,rot21 bb) B\<^sub>1) (b,Bal) (Node B\<^sub>2 (bc,rot22 bb) C)))))"
fun insert :: "'a::linorder \<Rightarrow> 'a tree_bal \<Rightarrow> 'a tree_bal change" where
"insert x Leaf = Diff(Node Leaf (x, Bal) Leaf)" |