X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpm_teqx_conf.ma;h=4e7b176fd8330d5cabcdaf3c2851b4800991715f;hp=f894128ac85e885eb5d4a35d21699856f62fc504;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_teqx_conf.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_teqx_conf.ma
index f894128ac..4e7b176fd 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_teqx_conf.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpm_teqx_conf.ma
@@ -18,49 +18,49 @@ include "basic_2/dynamic/cnv_cpm_teqx.ma".
 (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
 
 definition IH_cnv_cpm_teqx_conf_lpr (h) (a): relation3 genv lenv term ≝
-           λG,L0,T0. ⦃G,L0⦄ ⊢ T0 ![h,a] →
-           ∀n1,T1. ⦃G,L0⦄ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
-           ∀n2,T2. ⦃G,L0⦄ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
-           ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G,L0⦄ ⊢ ➡[h] L2 →
-           ∃∃T. ⦃G,L1⦄ ⊢ T1 ➡[n2-n1,h] T & T1 ≛ T & ⦃G,L2⦄ ⊢ T2 ➡[n1-n2,h] T & T2 ≛ T.
+           λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] →
+           ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
+           ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
+           ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 →
+           ∃∃T. ❪G,L1❫ ⊢ T1 ➡[n2-n1,h] T & T1 ≛ T & ❪G,L2❫ ⊢ T2 ➡[n1-n2,h] T & T2 ≛ T.
 
 (* Diamond propery with restricted rt-transition for terms ******************)
 
 fact cnv_cpm_teqx_conf_lpr_atom_atom_aux (h) (G0) (L1) (L2) (I):
-     ∃∃T. ⦃G0,L1⦄ ⊢ ⓪{I} ➡[h] T & ⓪{I} ≛ T & ⦃G0,L2⦄ ⊢ ⓪{I} ➡[h] T & ⓪{I} ≛ T.
+     ∃∃T. ❪G0,L1❫ ⊢ ⓪[I] ➡[h] T & ⓪[I] ≛ T & ❪G0,L2❫ ⊢ ⓪[I] ➡[h] T & ⓪[I] ≛ T.
 #h #G0 #L1 #L2 #I
 /2 width=5 by ex4_intro/
 qed-.
 
 fact cnv_cpm_teqx_conf_lpr_atom_ess_aux (h) (G0) (L1) (L2) (s):
-     ∃∃T. ⦃G0,L1⦄ ⊢ ⋆s ➡[1,h] T & ⋆s ≛ T & ⦃G0,L2⦄ ⊢ ⋆(⫯[h]s) ➡[h] T & ⋆(⫯[h]s) ≛ T.
+     ∃∃T. ❪G0,L1❫ ⊢ ⋆s ➡[1,h] T & ⋆s ≛ T & ❪G0,L2❫ ⊢ ⋆(⫯[h]s) ➡[h] T & ⋆(⫯[h]s) ≛ T.
 #h #G0 #L1 #L2 #s
 /3 width=5 by teqx_sort, ex4_intro/
 qed-.
 
 fact cnv_cpm_teqx_conf_lpr_bind_bind_aux (h) (a) (p) (I) (G0) (L0) (V0) (T0):
-     (∀G,L,T. ⦃G0,L0,ⓑ{p,I}V0.T0⦄ ⬂+ ⦃G,L,T⦄ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
-     ⦃G0,L0⦄ ⊢ ⓑ{p,I}V0.T0 ![h,a] →
-     ∀n1,T1. ⦃G0,L0.ⓑ{I}V0⦄ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
-     ∀n2,T2. ⦃G0,L0.ⓑ{I}V0⦄ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
-     ∀L1. ⦃G0,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G0,L0⦄ ⊢ ➡[h] L2 →
-     ∃∃T. ⦃G0,L1⦄ ⊢ ⓑ{p,I}V0.T1 ➡[n2-n1,h] T & ⓑ{p,I}V0.T1 ≛ T & ⦃G0,L2⦄ ⊢ ⓑ{p,I}V0.T2 ➡[n1-n2,h] T & ⓑ{p,I}V0.T2 ≛ T.
+     (∀G,L,T. ❪G0,L0,ⓑ[p,I]V0.T0❫ ⬂+ ❪G,L,T❫ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
+     ❪G0,L0❫ ⊢ ⓑ[p,I]V0.T0 ![h,a] →
+     ∀n1,T1. ❪G0,L0.ⓑ[I]V0❫ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
+     ∀n2,T2. ❪G0,L0.ⓑ[I]V0❫ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
+     ∀L1. ❪G0,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h] L2 →
+     ∃∃T. ❪G0,L1❫ ⊢ ⓑ[p,I]V0.T1 ➡[n2-n1,h] T & ⓑ[p,I]V0.T1 ≛ T & ❪G0,L2❫ ⊢ ⓑ[p,I]V0.T2 ➡[n1-n2,h] T & ⓑ[p,I]V0.T2 ≛ T.
 #h #a #p #I #G0 #L0 #V0 #T0 #IH #H0
 #n1 #T1 #H1T01 #H2T01 #n2 #T2 #H1T02 #H2T02
 #L1 #HL01 #L2 #HL02
 elim (cnv_inv_bind … H0) -H0 #_ #HT0
-elim (IH … H1T01 H2T01 … H1T02 H2T02 (L1.ⓑ{I}V0) … (L2.ⓑ{I}V0)) [|*: /2 width=1 by lpr_bind_refl_dx/ ]
+elim (IH … H1T01 H2T01 … H1T02 H2T02 (L1.ⓑ[I]V0) … (L2.ⓑ[I]V0)) [|*: /2 width=1 by lpr_bind_refl_dx/ ]
 #T #H1T1 #H2T1 #H1T2 #H2T2 -L0 -T0
 /3 width=7 by cpm_bind, teqx_pair, ex4_intro/
 qed-.
 
 fact cnv_cpm_teqx_conf_lpr_appl_appl_aux (h) (a) (G0) (L0) (V0) (T0):
-     (∀G,L,T. ⦃G0,L0,ⓐV0.T0⦄ ⬂+ ⦃G,L,T⦄ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
-     ⦃G0,L0⦄ ⊢ ⓐV0.T0 ![h,a] →
-     ∀n1,T1. ⦃G0,L0⦄ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
-     ∀n2,T2. ⦃G0,L0⦄ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
-     ∀L1. ⦃G0,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G0,L0⦄ ⊢ ➡[h] L2 →
-     ∃∃T. ⦃G0,L1⦄ ⊢ ⓐV0.T1 ➡[n2-n1,h] T & ⓐV0.T1 ≛ T & ⦃G0,L2⦄ ⊢ ⓐV0.T2 ➡[n1-n2,h] T & ⓐV0.T2 ≛ T.
+     (∀G,L,T. ❪G0,L0,ⓐV0.T0❫ ⬂+ ❪G,L,T❫ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
+     ❪G0,L0❫ ⊢ ⓐV0.T0 ![h,a] →
+     ∀n1,T1. ❪G0,L0❫ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
+     ∀n2,T2. ❪G0,L0❫ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
+     ∀L1. ❪G0,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h] L2 →
+     ∃∃T. ❪G0,L1❫ ⊢ ⓐV0.T1 ➡[n2-n1,h] T & ⓐV0.T1 ≛ T & ❪G0,L2❫ ⊢ ⓐV0.T2 ➡[n1-n2,h] T & ⓐV0.T2 ≛ T.
 #h #a #G0 #L0 #V0 #T0 #IH #H0
 #n1 #T1 #H1T01 #H2T01 #n2 #T2 #H1T02 #H2T02
 #L1 #HL01 #L2 #HL02
@@ -71,14 +71,14 @@ elim (IH … H1T01 H2T01 … H1T02 H2T02 … HL01 … HL02) [|*: /2 width=1 by f
 qed-.
 
 fact cnv_cpm_teqx_conf_lpr_cast_cast_aux (h) (a) (G0) (L0) (V0) (T0):
-     (∀G,L,T. ⦃G0,L0,ⓝV0.T0⦄ ⬂+ ⦃G,L,T⦄ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
-     ⦃G0,L0⦄ ⊢ ⓝV0.T0 ![h,a] →
-     ∀n1,V1. ⦃G0,L0⦄ ⊢ V0 ➡[n1,h] V1 → V0 ≛ V1 →
-     ∀n2,V2. ⦃G0,L0⦄ ⊢ V0 ➡[n2,h] V2 → V0 ≛ V2 →
-     ∀T1. ⦃G0,L0⦄ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
-     ∀T2. ⦃G0,L0⦄ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
-     ∀L1. ⦃G0,L0⦄ ⊢ ➡[h] L1 → ∀L2. ⦃G0,L0⦄ ⊢ ➡[h] L2 →
-     ∃∃T. ⦃G0,L1⦄ ⊢ ⓝV1.T1 ➡[n2-n1,h] T & ⓝV1.T1 ≛ T & ⦃G0,L2⦄ ⊢ ⓝV2.T2 ➡[n1-n2,h] T & ⓝV2.T2 ≛ T.
+     (∀G,L,T. ❪G0,L0,ⓝV0.T0❫ ⬂+ ❪G,L,T❫ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
+     ❪G0,L0❫ ⊢ ⓝV0.T0 ![h,a] →
+     ∀n1,V1. ❪G0,L0❫ ⊢ V0 ➡[n1,h] V1 → V0 ≛ V1 →
+     ∀n2,V2. ❪G0,L0❫ ⊢ V0 ➡[n2,h] V2 → V0 ≛ V2 →
+     ∀T1. ❪G0,L0❫ ⊢ T0 ➡[n1,h] T1 → T0 ≛ T1 →
+     ∀T2. ❪G0,L0❫ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 →
+     ∀L1. ❪G0,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h] L2 →
+     ∃∃T. ❪G0,L1❫ ⊢ ⓝV1.T1 ➡[n2-n1,h] T & ⓝV1.T1 ≛ T & ❪G0,L2❫ ⊢ ⓝV2.T2 ➡[n1-n2,h] T & ⓝV2.T2 ≛ T.
 #h #a #G0 #L0 #V0 #T0 #IH #H0
 #n1 #V1 #H1V01 #H2V01 #n2 #V2 #H1V02 #H2V02 #T1 #H1T01 #H2T01 #T2 #H1T02 #H2T02
 #L1 #HL01 #L2 #HL02
@@ -90,7 +90,7 @@ elim (IH … H1T01 H2T01 … H1T02 H2T02 … HL01 … HL02) [|*: /2 width=1 by f
 qed-.
 
 fact cnv_cpm_teqx_conf_lpr_aux (h) (a) (G0) (L0) (T0):
-     (∀G,L,T. ⦃G0,L0,T0⦄ ⬂+ ⦃G,L,T⦄ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
+     (∀G,L,T. ❪G0,L0,T0❫ ⬂+ ❪G,L,T❫ → IH_cnv_cpm_teqx_conf_lpr h a G L T) →
      ∀G,L,T. G0 = G → L0 = L → T0 = T → IH_cnv_cpm_teqx_conf_lpr h a G L T.
 #h #a #G0 #L0 #T0 #IH1 #G #L * [| * [| * ]]
 [ #I #HG0 #HL0 #HT0 #HT #n1 #X1 #H1X1 #H2X1 #n2 #X2 #H1X2 #H2X2 #L1 #HL1 #L2 #HL2 destruct