reorganization of the "static" component:

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / snv_lpr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lpr.ma
index f73c20a5e088b2d18021055fe0cd393492187188..41d02ab40f3dae4ab1ca270be015130bad8c2502 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_lpr.ma
@@ -21,8 +21,8 @@ include "basic_2/dynamic/lsubsv_snv.ma".
 (* Properties on context-free parallel reduction for local environments *****)
 
 fact snv_cpr_lpr_aux: ∀h,g,G0,L0,T0.
-                      (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_snv_lsstas h g G1 L1 T1) →
-                      (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_lsstas_cpr_lpr h g G1 L1 T1) →
+                      (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_snv_lstas h g G1 L1 T1) →
+                      (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_lstas_cpr_lpr h g G1 L1 T1) →
                       (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_da_cpr_lpr h g G1 L1 T1) →
                       (∀G1,L1,T1. ⦃G0, L0, T0⦄ >≡[h, g] ⦃G1, L1, T1⦄ → IH_snv_cpr_lpr h g G1 L1 T1) →
                       ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_snv_cpr_lpr h g G1 L1 T1.
@@ -56,7 +56,7 @@ fact snv_cpr_lpr_aux: ∀h,g,G0,L0,T0.
     lapply (IH1 … HV12 … HL12) /2 width=1 by fqup_fpbg/ #HV2
     lapply (IH1 … HT12 … HL12) /2 width=1 by fqup_fpbg/ #HT2
     lapply (IH2 … Hl0 … HV12 … HL12) /2 width=1 by fqup_fpbg/ #H2l0
-    elim (ssta_cpr_lpr_aux … IH3 … Hl0 … HVW1 … HV12 … HL12) -Hl0 -HVW1 -HV12 /2 width=1 by fqup_fpbg/ -HV1 #W2 #HVW2 #HW12
+    elim (sta_cpr_lpr_aux … IH3 … Hl0 … HVW1 … HV12 … HL12) -Hl0 -HVW1 -HV12 /2 width=1 by fqup_fpbg/ -HV1 #W2 #HVW2 #HW12
     elim (cpds_cpr_lpr_aux … IH2 IH3 … HTU1 … HT12 … HL12) /2 width=1 by fqup_fpbg/ -HT12 -HTU1 #X #HTU2 #H
     elim (cprs_inv_abst1 … H) -H #W20 #U2 #HW120 #_ #H destruct
     lapply (lpr_cprs_conf … HL12 … HW10) -L1 #HW10
@@ -69,28 +69,28 @@ fact snv_cpr_lpr_aux: ∀h,g,G0,L0,T0.
     elim (snv_inv_bind … HT1) -HT1 #HW20 #HT20
     elim (cpds_inv_abst1 … HTU1) -HTU1 #W30 #T30 #HW230 #_ #H destruct -T30
     lapply (cprs_div … HW10 … HW230) -W30 #HW120
-    lapply (snv_ssta_aux … IH4 … Hl0 … HVW1) /2 width=1 by fqup_fpbg/ #HW10
-    lapply (ssta_da_conf … HVW1 … Hl0) <minus_plus_m_m #HlW10
+    lapply (snv_sta_aux … IH4 … Hl0 … HVW1) /2 width=1 by fqup_fpbg/ #HW10
+    lapply (da_sta_conf … HVW1 … Hl0) <minus_plus_m_m #HlW10
     elim (snv_fwd_da … HW20) #l #Hl
     lapply (da_cpcs_aux … IH1 IH2 … HlW10 … Hl … HW120) // -HlW10
-    /3 width=5 by fpbg_fpbs_trans, fqup_fpbg, ssta_fpbs/ #H destruct
+    /3 width=5 by fpbg_fpbs_trans, fqup_fpbg, sta_fpbs/ #H destruct
     lapply (IH2 … Hl0 … HV12 … HL12) /2 width=1 by fqup_fpbg/ #HlV2
     lapply (IH2 … Hl … HW202 … HL12) /2 width=1 by fqup_fpbg/ #HlW2
-    elim (ssta_cpr_lpr_aux … IH3 … Hl0 … HVW1 … HV12 … HL12) /2 width=1 by fqup_fpbg/ #W3 #HV2W3 #HW103
-    lapply (ssta_da_conf … HV2W3 … HlV2) <minus_plus_m_m #HlW3
+    elim (sta_cpr_lpr_aux … IH3 … Hl0 … HVW1 … HV12 … HL12) /2 width=1 by fqup_fpbg/ #W3 #HV2W3 #HW103
+    lapply (da_sta_conf … HV2W3 … HlV2) <minus_plus_m_m #HlW3
     lapply (cpcs_cpr_strap1 … HW120 … HW202) -HW120 #HW102
     lapply (lpr_cpcs_conf … HL12 … HW102) -HW102 #HW102
     lapply (cpcs_canc_sn … HW103 … HW102) -W10 #HW32
     lapply (IH1 … HV12 … HL12) /2 width=1 by fqup_fpbg/ -HV1 #HV2
     lapply (IH1 … HW202 … HL12) /2 width=1 by fqup_fpbg/ -HW20 #HW2
     lapply (IH1 … HT20 … HT202 … (L2.ⓛW2) ?) /2 width=1 by fqup_fpbg, lpr_pair/ -HT20 #HT2
-    lapply (snv_ssta_aux … IH4 … HlV2 … HV2W3)
+    lapply (snv_sta_aux … IH4 … HlV2 … HV2W3)
     /3 width=5 by fpbg_fpbs_trans, fqup_fpbg, cpr_lpr_fpbs/ #HW3
     lapply (lsubsv_snv_trans … HT2 (L2.ⓓⓝW2.V2) ?) -HT2 /3 width=3 by snv_bind, snv_cast/
     @(lsubsv_abbr … l) /3 width=7 by fqup_fpbg/ #W #W0 #l0 #Hl0 #HV2W #HW20
-    lapply (lsstas_ssta_conf_pos … HV2W3 … HV2W) -HV2W #HW3W
-    @(lsstas_cpcs_lpr_aux … IH1 IH2 IH3 … HlW3 … HW3W … HlW2 … HW20 … HW32) //
-    [ /3 width=9 by fpbg_fpbs_trans, fqup_fpbg, cpr_lpr_ssta_fpbs/
+    lapply (lstas_sta_conf_pos … HV2W3 … HV2W) -HV2W #HW3W
+    @(lstas_cpcs_lpr_aux … IH1 IH2 IH3 … HlW3 … HW3W … HlW2 … HW20 … HW32) //
+    [ /3 width=9 by fpbg_fpbs_trans, fqup_fpbg, cpr_lpr_sta_fpbs/
     | /3 width=5 by fpbg_fpbs_trans, fqup_fpbg, cpr_lpr_fpbs/
     ]
   | #b #V0 #V2 #W0 #W2 #T0 #T2 #HV10 #HV02 #HW02 #HT02 #H1 #H2 destruct -IH4
@@ -100,10 +100,10 @@ fact snv_cpr_lpr_aux: ∀h,g,G0,L0,T0.
     lapply (lpr_cprs_conf … HL12 … HW10) -HW10 #HW10
     elim (cpds_cpr_lpr_aux … IH2 IH3 … HTU0 … HT02 (L2.ⓓW2)) /2 width=1 by fqup_fpbg, lpr_pair/ -HTU0 #X #HTU2 #H
     elim (cprs_inv_abst1 … H) -H #W #U2 #HW1 #_ #H destruct -U3
-    elim (ssta_cpr_lpr_aux … IH3 … HVW1 … HV10 … HL12) /2 width=2 by fqup_fpbg/ -IH3 -HVW1 #X #H1 #H2
+    elim (sta_cpr_lpr_aux … IH3 … HVW1 … HV10 … HL12) /2 width=2 by fqup_fpbg/ -IH3 -HVW1 #X #H1 #H2
     lapply (cpcs_canc_sn … H2 HW10) -W10 #H2
     elim (lift_total X 0 1) #W20 #H3
-    lapply (ssta_lift … H1 (L2.ⓓW2) … HV02 … H3) /2 width=2 by ldrop_drop/ -H1 #HVW20
+    lapply (sta_lift … H1 (L2.ⓓW2) … HV02 … H3) /2 width=2 by ldrop_drop/ -H1 #HVW20
     lapply (cpcs_lift … (L2.ⓓW2) … H3 … HW13 H2) /2 width=2 by ldrop_drop/ -HW13 -H3 -H2 #HW320
     lapply (cpcs_cprs_strap1 … HW320 … HW1) -W3 #HW20
     elim (cpcs_inv_cprs … HW20) -HW20 #W3 #HW203 #HW3
@@ -122,7 +122,7 @@ fact snv_cpr_lpr_aux: ∀h,g,G0,L0,T0.
     lapply (cpcs_cprs_strap1 … HUW1 W2 ?) /2 width=1 by cpr_cprs/ -HUW1 #H1
     lapply (IH1 … HW12 … HL12) /2 width=1 by fqup_fpbg/ -HW1 -HW12 #HW2
     lapply (IH1 … HT12 … HL12) /2 width=1 by fqup_fpbg/ -IH1 #HT2
-    elim (ssta_cpr_lpr_aux … IH3 … Hl0 … HTU1 … HT12 … HL12) /2 width=2 by fqup_fpbg/ -IH3 -HTU1 #U2 #HTU2 #HU12
+    elim (sta_cpr_lpr_aux … IH3 … Hl0 … HTU1 … HT12 … HL12) /2 width=2 by fqup_fpbg/ -IH3 -HTU1 #U2 #HTU2 #HU12
     lapply (IH2 … Hl0 … HT12 … HL12) /2 width=1 by fqup_fpbg/ -IH2 -HT1 -HT12 -Hl0 #Hl0
     /4 width=7 by snv_cast, lpr_cpcs_conf, cpcs_canc_sn/
   | #H -IH3 -IH2 -HW1 -HTU1 -HUW1