X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpts.ma;h=51c02346f8baca2bee0c60c828cc559fa0deef01;hp=fc6d8e3886cc4cbb8ac9f024d02738895a9b0e03;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma
index fc6d8e388..51c02346f 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma
@@ -22,8 +22,8 @@ include "basic_2/dynamic/cnv_preserve_cpcs.ma".
 (* Forward lemmas with t-bound t-computarion for terms **********************)
 
 lemma cpts_cpms_conf_eq (h) (n) (a) (G) (L):
-      ∀T0. ⦃G,L⦄ ⊢ T0 ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T0 ⬆*[h,n] T1 →
-      ∀T2. ⦃G,L⦄ ⊢ T0 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ T1 ⬌*[h] T2.
+      ∀T0. ❪G,L❫ ⊢ T0 ![h,a] → ∀T1. ❪G,L❫ ⊢ T0 ⬆*[h,n] T1 →
+      ∀T2. ❪G,L❫ ⊢ T0 ➡*[n,h] T2 → ❪G,L❫ ⊢ T1 ⬌*[h] T2.
 #h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 #HT02
 /3 width=6 by cpts_fwd_cpms, cnv_cpms_conf_eq/
 qed-.
@@ -31,18 +31,18 @@ qed-.
 (* Inversion lemmas with t-bound t-computarion for terms ********************)
 
 lemma cnv_inv_cast_cpts (h) (a) (nu) (nt) (G) (L):
-      ∀U1. ⦃G,L⦄ ⊢ U1 ![h,a] → ∀U2. ⦃G,L⦄ ⊢ U1 ⬆*[h,nu] U2 →
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∀T2. ⦃G,L⦄ ⊢ T1 ⬆*[h,nt] T2 →
-      ⦃G,L⦄ ⊢ U1 ⬌*[h,nu,nt] T1 → ⦃G,L⦄ ⊢ U2 ⬌*[h] T2.
+      ∀U1. ❪G,L❫ ⊢ U1 ![h,a] → ∀U2. ❪G,L❫ ⊢ U1 ⬆*[h,nu] U2 →
+      ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ⬆*[h,nt] T2 →
+      ❪G,L❫ ⊢ U1 ⬌*[h,nu,nt] T1 → ❪G,L❫ ⊢ U2 ⬌*[h] T2.
 #h #a #nu #nt #G #L #U1 #HU1 #U2 #HU12 #T1 #HT1 #T2 #HT12 * #X1 #HUX1 #HTX1
 /3 width=8 by cpts_cpms_conf_eq, cpcs_canc_dx/
 qed-.
 
 lemma cnv_inv_appl_cpts (h) (a) (nv) (nt) (p) (G) (L):
-      ∀V1. ⦃G,L⦄ ⊢ V1 ![h,a] → ∀V2. ⦃G,L⦄ ⊢ V1 ⬆*[h,nv] V2 →
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∀T2. ⦃G,L⦄ ⊢ T1 ⬆*[h,nt] T2 →
-      ∀V0. ⦃G,L⦄ ⊢ V1 ➡*[nv,h] V0 → ∀T0. ⦃G,L⦄ ⊢ T1 ➡*[nt,h] ⓛ{p}V0.T0 →
-      ∃∃W0,U0. ⦃G,L⦄ ⊢ V2 ➡*[h] W0 & ⦃G,L⦄ ⊢ T2 ➡*[h] ⓛ{p}W0.U0.
+      ∀V1. ❪G,L❫ ⊢ V1 ![h,a] → ∀V2. ❪G,L❫ ⊢ V1 ⬆*[h,nv] V2 →
+      ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ⬆*[h,nt] T2 →
+      ∀V0. ❪G,L❫ ⊢ V1 ➡*[nv,h] V0 → ∀T0. ❪G,L❫ ⊢ T1 ➡*[nt,h] ⓛ[p]V0.T0 →
+      ∃∃W0,U0. ❪G,L❫ ⊢ V2 ➡*[h] W0 & ❪G,L❫ ⊢ T2 ➡*[h] ⓛ[p]W0.U0.
 #h #a #nv #nt #p #G #L #V1 #HV1 #V2 #HV12 #T1 #HT1 #T2 #HT12 #V0 #HV20 #T0 #HT20
 lapply (cpts_cpms_conf_eq … HV1 … HV12 … HV20) -nv -V1 #HV20
 lapply (cpts_cpms_conf_eq … HT1 … HT12 … HT20) -nt -T1 #HT20
@@ -56,19 +56,19 @@ qed-.
 (* Properties with t-bound t-computarion for terms **************************)
 
 lemma cnv_cast_cpts (h) (a) (nu) (nt) (G) (L):
-      ∀U1. ⦃G,L⦄ ⊢ U1 ![h,a] → ∀U2. ⦃G,L⦄ ⊢ U1 ⬆*[h,nu] U2 →
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∀T2. ⦃G,L⦄ ⊢ T1 ⬆*[h,nt] T2 →
-      ⦃G,L⦄ ⊢ U2 ⬌*[h] T2 → ⦃G,L⦄ ⊢ U1 ⬌*[h,nu,nt] T1.
+      ∀U1. ❪G,L❫ ⊢ U1 ![h,a] → ∀U2. ❪G,L❫ ⊢ U1 ⬆*[h,nu] U2 →
+      ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ⬆*[h,nt] T2 →
+      ❪G,L❫ ⊢ U2 ⬌*[h] T2 → ❪G,L❫ ⊢ U1 ⬌*[h,nu,nt] T1.
 #h #a #nu #nt #G #L #U1 #HU1 #U2 #HU12 #T1 #HT1 #T2 #HT12 #HUT2
 elim (cpcs_inv_cprs … HUT2) -HUT2 #X2 #HUX2 #HTX2
 /3 width=5 by cpts_cprs_trans, cpms_div/
 qed-.
 
 lemma cnv_appl_cpts (h) (a) (nv) (nt) (p) (G) (L):
-      ∀V1. ⦃G,L⦄ ⊢ V1 ![h,a] → ∀V2. ⦃G,L⦄ ⊢ V1 ⬆*[h,nv] V2 →
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∀T2. ⦃G,L⦄ ⊢ T1 ⬆*[h,nt] T2 →
-      ∀V0. ⦃G,L⦄ ⊢ V2 ➡*[h] V0 → ∀T0. ⦃G,L⦄ ⊢ T2 ➡*[h] ⓛ{p}V0.T0 →
-      ∃∃W0,U0. ⦃G,L⦄ ⊢ V1 ➡*[nv,h] W0 & ⦃G,L⦄ ⊢ T1 ➡*[nt,h] ⓛ{p}W0.U0.
+      ∀V1. ❪G,L❫ ⊢ V1 ![h,a] → ∀V2. ❪G,L❫ ⊢ V1 ⬆*[h,nv] V2 →
+      ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ⬆*[h,nt] T2 →
+      ∀V0. ❪G,L❫ ⊢ V2 ➡*[h] V0 → ∀T0. ❪G,L❫ ⊢ T2 ➡*[h] ⓛ[p]V0.T0 →
+      ∃∃W0,U0. ❪G,L❫ ⊢ V1 ➡*[nv,h] W0 & ❪G,L❫ ⊢ T1 ➡*[nt,h] ⓛ[p]W0.U0.
 #h #a #nv #nt #p #G #L #V1 #HV1 #V2 #HV12 #T1 #HT1 #T2 #HT12 #V0 #HV20 #T0 #HT20
 /3 width=6 by cpts_cprs_trans, ex2_2_intro/
 qed-.