--- a/src/CCL/Fix.thy Tue Mar 29 23:15:25 2011 +0200
+++ b/src/CCL/Fix.thy Tue Mar 29 23:27:38 2011 +0200
@@ -9,17 +9,12 @@
imports Type
begin
-consts
- idgen :: "[i]=>i"
- INCL :: "[i=>o]=>o"
+definition idgen :: "i => i"
+ where "idgen(f) == lam t. case(t,true,false,%x y.<f`x, f`y>,%u. lam x. f ` u(x))"
-defs
- idgen_def:
- "idgen(f) == lam t. case(t,true,false,%x y.<f`x, f`y>,%u. lam x. f ` u(x))"
-
-axioms
- INCL_def: "INCL(%x. P(x)) == (ALL f.(ALL n:Nat. P(f^n`bot)) --> P(fix(f)))"
- po_INCL: "INCL(%x. a(x) [= b(x))"
+axiomatization INCL :: "[i=>o]=>o" where
+ INCL_def: "INCL(%x. P(x)) == (ALL f.(ALL n:Nat. P(f^n`bot)) --> P(fix(f)))" and
+ po_INCL: "INCL(%x. a(x) [= b(x))" and
INCL_subst: "INCL(P) ==> INCL(%x. P((g::i=>i)(x)))"