src/HOL/Lifting_Sum.thy
 changeset 55083 0a689157e3ce parent 53026 e1a548c11845 child 55084 8ee9aabb2bca
```--- a/src/HOL/Lifting_Sum.thy	Mon Jan 20 20:00:33 2014 +0100
+++ b/src/HOL/Lifting_Sum.thy	Mon Jan 20 20:21:12 2014 +0100
@@ -5,26 +5,11 @@
header {* Setup for Lifting/Transfer for the sum type *}

theory Lifting_Sum
-imports Lifting
+imports Lifting Basic_BNFs
begin

subsection {* Relator and predicator properties *}

-definition
-   sum_rel :: "('a \<Rightarrow> 'c \<Rightarrow> bool) \<Rightarrow> ('b \<Rightarrow> 'd \<Rightarrow> bool) \<Rightarrow> 'a + 'b \<Rightarrow> 'c + 'd \<Rightarrow> bool"
-where
-   "sum_rel R1 R2 x y =
-     (case (x, y) of (Inl x, Inl y) \<Rightarrow> R1 x y
-     | (Inr x, Inr y) \<Rightarrow> R2 x y
-     | _ \<Rightarrow> False)"
-
-lemma sum_rel_simps[simp]:
-  "sum_rel R1 R2 (Inl a1) (Inl b1) = R1 a1 b1"
-  "sum_rel R1 R2 (Inl a1) (Inr b2) = False"
-  "sum_rel R1 R2 (Inr a2) (Inl b1) = False"
-  "sum_rel R1 R2 (Inr a2) (Inr b2) = R2 a2 b2"
-  unfolding sum_rel_def by simp_all
-
abbreviation (input) "sum_pred \<equiv> sum_case"

lemma sum_rel_eq [relator_eq]:```