- some renaming

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_dxprs.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_dxprs.ma
index 9666bffddb90cb1363647d26a10b2f6e7ab0b95d..04af871fead5965b19844823a4930581064a88ae 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_dxprs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_dxprs.ma
@@ -19,9 +19,9 @@ include "basic_2/dynamic/lsubsv_ssta.ma".
 
 (* Properties for the preservation results **********************************)
 
-fact sstas_lsubsv_aux: ∀h,g,L0,T0.
-                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_ltpr_tpr h g L1 T1) →
-                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_ssta_ltpr_tpr h g L1 T1) →
+fact lsubsv_sstas_aux: ∀h,g,L0,T0.
+                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_cpr_lpr h g L1 T1) →
+                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_ssta_cpr_lpr h g L1 T1) →
                        (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_ssta h g L1 T1) →
                        (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_lsubsv h g L1 T1) →
                        ∀L2,T. h ⊢ ⦃L0, T0⦄ >[g] ⦃L2, T⦄ → ⦃h, L2⦄ ⊢ T ¡[g] →
@@ -35,14 +35,14 @@ lapply (snv_sstas_aux … IH2 … HTU2) // #H
 lapply (IH1 … H … HL12) [ /3 width=4 by ygt_yprs_trans, sstas_yprs/ ] -H #HU2
 elim (snv_fwd_ssta … HU1) #l1 #W1 #HUW1
 elim (lsubsv_ssta_trans … HU2W … HL12) -HU2W #W2 #HUW2 #HW2
-elim (ssta_ltpr_cpcs_aux … IH4 IH3 … HU1 HU2 … HUW1 … HUW2 … HU12) -HU1 -HU2 -HUW2 -HU12 //
+elim (ssta_cpcs_lpr_aux … IH4 IH3 … HU1 HU2 … HUW1 … HUW2 … HU12 L1) -HU1 -HU2 -HUW2 -HU12 //
 [2,3: /4 width=4 by ygt_yprs_trans, sstas_yprs, lsubsv_yprs/ ] -L2 -L0 -T0 -U2 #H #HW12 destruct
 lapply (cpcs_trans … HW12 … HW2) -W2 /3 width=4/
 qed-.
 
-fact dxprs_lsubsv_aux: ∀h,g,L0,T0.
-                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_ltpr_tpr h g L1 T1) →
-                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_ssta_ltpr_tpr h g L1 T1) →
+fact lsubsv_dxprs_aux: ∀h,g,L0,T0.
+                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_cpr_lpr h g L1 T1) →
+                       (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_ssta_cpr_lpr h g L1 T1) →
                        (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_ssta h g L1 T1) →
                        (∀L1,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L1, T1⦄ → IH_snv_lsubsv h g L1 T1) →
                        ∀L2,T1. h ⊢ ⦃L0, T0⦄ >[g] ⦃L2, T1⦄ → ⦃h, L2⦄ ⊢ T1 ¡[g] →
@@ -50,7 +50,7 @@ fact dxprs_lsubsv_aux: ∀h,g,L0,T0.
                        ∃∃T. ⦃h, L1⦄ ⊢ T1 •*➡*[g] T & L1 ⊢ T2 ➡* T.
 #h #g #L0 #T0 #IH4 #IH3 #IH2 #IH1 #L2 #T1 #HLT0 #HT1 #L1 #HL12 #T2 * #T #HT1T #HTT2
 lapply (lsubsv_cprs_trans … HL12 … HTT2) -HTT2 #HTT2
-elim (sstas_lsubsv_aux … IH4 IH3 IH2 IH1 … HLT0 … HL12 … HT1T) // -L2 -L0 -T0 #T0 #HT10 #HT0
+elim (lsubsv_sstas_aux … IH4 IH3 IH2 IH1 … HLT0 … HL12 … HT1T) // -L2 -L0 -T0 #T0 #HT10 #HT0
 lapply (cpcs_cprs_strap1 … HT0 … HTT2) -T #HT02
 elim (cpcs_inv_cprs … HT02) -HT02 /3 width=3/
 qed-.