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Working on stating induct.
authorCezary Kaliszyk <kaliszyk@in.tum.de>
Wed, 24 Mar 2010 12:05:38 +0100
changeset 1630 b295a928c56b
parent 1627 9db725590fe9
child 1631 e94bfef17bb8
Working on stating induct.
Nominal/ExCoreHaskell.thy file | annotate | diff | comparison | revisions 
--- a/Nominal/ExCoreHaskell.thy	Wed Mar 24 12:04:03 2010 +0100
+++ b/Nominal/ExCoreHaskell.thy	Wed Mar 24 12:05:38 2010 +0100
@@ -88,6 +88,55 @@
 lemmas fv_supp=tkind_ckind_ty_ty_lst_co_co_lst_trm_assoc_lst_pat_vt_lst_tvtk_lst_tvck_lst.supp(1-9,11,13,15)
 lemmas supp=tkind_ckind_ty_ty_lst_co_co_lst_trm_assoc_lst_pat_vt_lst_tvtk_lst_tvck_lst.fv[simplified fv_supp]
 
+lemma 
+  assumes a01: "P1 KStar"
+  and a02: "\<And>tkind1 tkind2. \<lbrakk>P1 tkind1; P1 tkind2\<rbrakk> \<Longrightarrow> P1 (KFun tkind1 tkind2)"
+  and a03: "\<And>ty1 ty2. \<lbrakk>P3 ty1; P3 ty2\<rbrakk> \<Longrightarrow> P2 (CKEq ty1 ty2)"
+  and a04: "\<And>tvar. P3 (TVar tvar)"
+  and a05: "\<And>char. P3 (TC char)"
+  and a06: "\<And>ty1 ty2. \<lbrakk>P3 ty1; P3 ty2\<rbrakk> \<Longrightarrow> P3 (TApp ty1 ty2)"
+  and a07: "\<And>char ty_lst. P4 ty_lst \<Longrightarrow> P3 (TFun char ty_lst)"
+  and a08: "\<And>tvar tkind ty. \<lbrakk>P1 tkind; P3 ty\<rbrakk> \<Longrightarrow> P3 (TAll tvar tkind ty)"
+  and a09: "\<And>ty1 ty2 ty3. \<lbrakk>P3 ty1; P3 ty2; P3 ty3\<rbrakk> \<Longrightarrow> P3 (TEq ty1 ty2 ty3)"
+  and a10: "P4 TsNil"
+  and a11: "\<And>ty ty_lst. \<lbrakk>P3 ty; P4 ty_lst\<rbrakk> \<Longrightarrow> P4 (TsCons ty ty_lst)"
+  and a12: "\<And>char. P5 (CC char)"
+  and a13: "\<And>co1 co2. \<lbrakk>P5 co1; P5 co2\<rbrakk> \<Longrightarrow> P5 (CApp co1 co2)"
+  and a14: "\<And>char co_lst. P6 co_lst \<Longrightarrow> P5 (CFun char co_lst)"
+  and a15: "\<And>tvar ckind co. \<lbrakk>P2 ckind; P5 co\<rbrakk> \<Longrightarrow> P5 (CAll tvar ckind co)"
+  and a16: "\<And>co1 co2 co3. \<lbrakk>P5 co1; P5 co2; P5 co3\<rbrakk> \<Longrightarrow> P5 (CEq co1 co2 co3)"
+  and a17: "\<And>co. P5 co \<Longrightarrow> P5 (CSym co)"
+  and a18: "\<And>co1 co2. \<lbrakk>P5 co1; P5 co2\<rbrakk> \<Longrightarrow> P5 (CCir co1 co2)"
+  and a19: "\<And>co. P5 co \<Longrightarrow> P5 (CLeft co)"
+  and a20: "\<And>co. P5 co \<Longrightarrow> P5 (CRight co)"
+  and a21: "\<And>co. P5 co \<Longrightarrow> P5 (CSim co)"
+  and a22: "\<And>co. P5 co \<Longrightarrow> P5 (CRightc co)"
+  and a23: "\<And>co. P5 co \<Longrightarrow> P5 (CLeftc co)"
+  and a24: "\<And>co1 co2. \<lbrakk>P5 co1; P5 co2\<rbrakk> \<Longrightarrow> P5 (CCoe co1 co2)"
+  and a25: "P6 CsNil"
+  and a26: "\<And>co co_lst. \<lbrakk>P5 co; P6 co_lst\<rbrakk> \<Longrightarrow> P6 (CsCons co co_lst)"
+  and a27: "\<And>var. P7 (Var var)"
+  and a28: "\<And>char. P7 (C char)"
+  and a29: "\<And>tvar tkind trm. \<lbrakk>P1 tkind; P7 trm\<rbrakk> \<Longrightarrow> P7 (LAMT tvar tkind trm)"
+  and a30: "\<And>tvar ckind trm. \<lbrakk>P2 ckind; P7 trm\<rbrakk> \<Longrightarrow> P7 (LAMC tvar ckind trm)"
+  and a31: "\<And>trm ty. \<lbrakk>P7 trm; P3 ty\<rbrakk> \<Longrightarrow> P7 (APP trm ty)"
+  and a32: "\<And>var ty trm. \<lbrakk>P3 ty; P7 trm\<rbrakk> \<Longrightarrow> P7 (Lam var ty trm)"
+  and a33: "\<And>trm1 trm2. \<lbrakk>P7 trm1; P7 trm2\<rbrakk> \<Longrightarrow> P7 (App trm1 trm2)"
+  and a34: "\<And>var ty trm1 trm2. \<lbrakk>P3 ty; P7 trm1; P7 trm2\<rbrakk> \<Longrightarrow> P7 (ExCoreHaskell.Let var ty trm1 trm2)"
+  and a35: "\<And>trm assoc_lst. \<lbrakk>P7 trm; P8 assoc_lst\<rbrakk> \<Longrightarrow> P7 (Case trm assoc_lst)"
+  and a36: "\<And>trm ty. \<lbrakk>P7 trm; P3 ty\<rbrakk> \<Longrightarrow> P7 (Cast trm ty)"
+  and a37: "P8 ANil"
+  and a38: "\<And>pat trm assoc_lst. \<lbrakk>P9 pat; P7 trm; P8 assoc_lst\<rbrakk> \<Longrightarrow> P8 (ACons pat trm assoc_lst)"
+  and a39: "\<And>char tvtk_lst tvck_lst vt_lst. \<lbrakk>P11 tvtk_lst; P12 tvck_lst; P10 vt_lst\<rbrakk>
+    \<Longrightarrow> P9 (K char tvtk_lst tvck_lst vt_lst)"
+  and a40: "P10 VTNil"
+  and a41: "\<And>var ty vt_lst. \<lbrakk>P3 ty; P10 vt_lst\<rbrakk> \<Longrightarrow> P10 (VTCons var ty vt_lst)"
+  and a42: "P11 TVTKNil"
+  and a43: "\<And>tvar tkind tvtk_lst. \<lbrakk>P1 tkind; P11 tvtk_lst\<rbrakk> \<Longrightarrow> P11 (TVTKCons tvar tkind tvtk_lst)"
+  and a44: "P12 TVCKNil"
+  and a45: "\<And>tvar ckind tvck_lst. \<lbrakk>P2 ckind; P12 tvck_lst\<rbrakk> \<Longrightarrow> P12 (TVCKCons tvar ckind tvck_lst)"
+  shows "P1 tkind \<and> P2 ckind \<and> P3 ty \<and> P4 ty_lst \<and> P5 co \<and> P6 co_lst \<and>
+         P7 trm \<and> P8 assoc_lst \<and> P9 pat \<and> P10 vt_lst \<and> P11 tvtk_lst \<and> P12 tvck_lst"
 
 end
nominal2