diff -r 01d722707a36 -r ff3cb0c418b7 src/HOL/Nitpick.thy --- a/src/HOL/Nitpick.thy Mon Feb 21 10:42:29 2011 +0100 +++ b/src/HOL/Nitpick.thy Mon Feb 21 10:44:19 2011 +0100 @@ -47,11 +47,7 @@ Alternative definitions. *} -lemma If_def [nitpick_def, no_atp]: -"(if P then Q else R) \ (P \ Q) \ (\ P \ R)" -by (rule eq_reflection) (rule if_bool_eq_conj) - -lemma Ex1_def [nitpick_def, no_atp]: +lemma Ex1_def [nitpick_unfold, no_atp]: "Ex1 P \ \x. P = {x}" apply (rule eq_reflection) apply (simp add: Ex1_def set_eq_iff) @@ -64,14 +60,14 @@ apply (erule_tac x = y in allE) by (auto simp: mem_def) -lemma rtrancl_def [nitpick_def, no_atp]: "r\<^sup>* \ (r\<^sup>+)\<^sup>=" +lemma rtrancl_def [nitpick_unfold, no_atp]: "r\<^sup>* \ (r\<^sup>+)\<^sup>=" by simp -lemma rtranclp_def [nitpick_def, no_atp]: +lemma rtranclp_def [nitpick_unfold, no_atp]: "rtranclp r a b \ (a = b \ tranclp r a b)" by (rule eq_reflection) (auto dest: rtranclpD) -lemma tranclp_def [nitpick_def, no_atp]: +lemma tranclp_def [nitpick_unfold, no_atp]: "tranclp r a b \ trancl (split r) (a, b)" by (simp add: trancl_def Collect_def mem_def) @@ -119,7 +115,7 @@ apply (erule contrapos_np) by (rule someI) -lemma unit_case_def [nitpick_def, no_atp]: +lemma unit_case_def [nitpick_unfold, no_atp]: "unit_case x u \ x" apply (subgoal_tac "u = ()") apply (simp only: unit.cases) @@ -127,7 +123,7 @@ declare unit.cases [nitpick_simp del] -lemma nat_case_def [nitpick_def, no_atp]: +lemma nat_case_def [nitpick_unfold, no_atp]: "nat_case x f n \ if n = 0 then x else f (n - 1)" apply (rule eq_reflection) by (case_tac n) auto