partial commit of the "dynamic" component

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / unfold / sstas_lpss.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/unfold/sstas_lpss.ma b/matita/matita/contribs/lambdadelta/basic_2/unfold/sstas_lpss.ma
index 8f9eda1098804a34448f479d63d3faaff13ae21c..3ecbc225600d4c1142f4bda057658773a21e2389 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/unfold/sstas_lpss.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/unfold/sstas_lpss.ma
@@ -17,23 +17,23 @@ include "basic_2/unfold/sstas.ma".
 
 (* ITERATED STRATIFIED STATIC TYPE ASSIGNMENT FOR TERMS *********************)
 
-(* Properties about sn parallel substitution ********************************)
+(* Properties about sn parallel substitution for local environments *********)
 
-lemma sstas_tpss_lpss_conf: ∀h,g,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 •*[g] U1 →
+lemma sstas_cpss_lpss_conf: ∀h,g,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 •*[g] U1 →
                             ∀T2. L1 ⊢ T1 ▶* T2 → ∀L2. L1 ⊢ ▶* L2 →
                             ∃∃U2. ⦃h, L2⦄ ⊢ T2 •*[g] U2 & L1 ⊢ U1 ▶* U2.
 #h #g #L1 #T1 #U1 #H @(sstas_ind_dx … H) -T1 /2 width=3/
 #T0 #U0 #l0 #HTU0 #_ #IHU01 #T #HT0 #L2 #HL12
-elim (ssta_tpss_lpss_conf … HTU0 … HT0 … HL12) -HTU0 -HT0 #U #HTU #HU0
+elim (ssta_cpss_lpss_conf … HTU0 … HT0 … HL12) -HTU0 -HT0 #U #HTU #HU0
 elim (IHU01 … HU0 … HL12) -IHU01 -U0 -HL12 /3 width=4/
 qed-.
 
-lemma sstas_tpss_conf: ∀h,g,L,T1,U1. ⦃h, L⦄ ⊢ T1 •*[g] U1 →
+lemma sstas_cpss_conf: ∀h,g,L,T1,U1. ⦃h, L⦄ ⊢ T1 •*[g] U1 →
                        ∀T2. L ⊢ T1 ▶* T2 →
                        ∃∃U2. ⦃h, L⦄ ⊢ T2 •*[g] U2 & L ⊢ U1 ▶* U2.
-/2 width=3 by sstas_tpss_lpss_conf/ qed-.
+/2 width=3 by sstas_cpss_lpss_conf/ qed-.
 
 lemma sstas_lpss_conf: ∀h,g,L1,T,U1. ⦃h, L1⦄ ⊢ T •*[g] U1 →
                        ∀L2. L1 ⊢ ▶* L2 →
                        ∃∃U2. ⦃h, L2⦄ ⊢ T •*[g] U2 & L1 ⊢ U1 ▶* U2.
-/2 width=3 by sstas_tpss_lpss_conf/ qed-.
+/2 width=3 by sstas_cpss_lpss_conf/ qed-.