update in ground_2, static_2, basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_csx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma
index 0500e42547b2dc03494919ce9cfc8ef146f60ce4..6948d70bbef9d6bf8b169fa58b20fdc5d658b607 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_csx.ma
@@ -55,7 +55,7 @@ qed.
 (* Basic_1: was just: sn3_abbr *)
 (* Basic_2A1: was: csx_lref_bind *)
 lemma csx_lref_pair_drops (h) (G):
-      ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V →
+      ∀I,L,K,V,i. ⇩[i] L ≘ K.ⓑ[I]V →
       ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ → ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫.
 #h #G #I #L #K #V #i #HLK #HV
 @csx_intro #X #H #Hi elim (cpx_inv_lref1_drops … H) -H
@@ -71,7 +71,7 @@ qed.
 (* Basic_1: was: sn3_gen_def *)
 (* Basic_2A1: was: csx_inv_lref_bind *)
 lemma csx_inv_lref_pair_drops (h) (G):
-      ∀I,L,K,V,i. ⇩*[i] L ≘ K.ⓑ[I]V →
+      ∀I,L,K,V,i. ⇩[i] L ≘ K.ⓑ[I]V →
       ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
 #h #G #I #L #K #V #i #HLK #Hi
 elim (lifts_total V (𝐔❨↑i❩))
@@ -81,8 +81,8 @@ qed-.
 lemma csx_inv_lref_drops (h) (G):
       ∀L,i. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪#i❫ →
       ∨∨ ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆
-       | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ[I]
-       | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
+       | ∃∃I,K. ⇩[i] L ≘ K.ⓤ[I]
+       | ∃∃I,K,V. ⇩[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
 #h #G #L #i #H elim (drops_F_uni L i) /2 width=1 by or3_intro0/
 * * /4 width=9 by csx_inv_lref_pair_drops, ex2_3_intro, ex1_2_intro, or3_intro2, or3_intro1/
 qed-.