update in ground_2, static_2, basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma
index f9f97bca8c91aea82c7c9dbb64d56b4e7bc738e6..24ff0f82a6a3e4160d8197ed9729cca020aa499e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_csx.ma
@@ -38,7 +38,7 @@ lemma rsx_fwd_lref_pair_csx (h) (G):
 /2 width=4 by rsx_fwd_lref_pair_csx_aux/ qed-.
 
 lemma rsx_fwd_lref_pair_csx_drops (h) (G):
-      ∀I,K,V,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
+      ∀I,K,V,i,L. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ → ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫.
 #h #G #I #K #V #i elim i -i
 [ #L #H >(drops_fwd_isid … H) -H
   /2 width=2 by rsx_fwd_lref_pair_csx/
@@ -57,15 +57,15 @@ lemma rsx_inv_lref_pair (h) (G):
 /3 width=2 by rsx_fwd_lref_pair_csx, rsx_fwd_pair, conj/ qed-.
 
 lemma rsx_inv_lref_pair_drops (h) (G):
-      ∀I,K,V,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ →
+      ∀I,K,V,i,L. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫ →
       ∧∧ ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ & G ⊢ ⬈*[h,V] 𝐒❪K❫.
 /3 width=5 by rsx_fwd_lref_pair_csx_drops, rsx_fwd_lref_pair_drops, conj/ qed-.
 
 lemma rsx_inv_lref_drops (h) (G):
       ∀L,i. G ⊢ ⬈*[h,#i] 𝐒❪L❫ →
       ∨∨ ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆
-       | ∃∃I,K. ⇩*[i] L ≘ K.ⓤ[I]
-       | ∃∃I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ & G ⊢ ⬈*[h,V] 𝐒❪K❫.
+       | ∃∃I,K. ⇩[i] L ≘ K.ⓤ[I]
+       | ∃∃I,K,V. ⇩[i] L ≘ K.ⓑ[I]V & ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ & G ⊢ ⬈*[h,V] 𝐒❪K❫.
 #h #G #L #i #H elim (drops_F_uni L i)
 [ /2 width=1 by or3_intro0/
 | * * /4 width=10 by rsx_fwd_lref_pair_csx_drops, rsx_fwd_lref_pair_drops, ex3_3_intro, ex1_2_intro, or3_intro2, or3_intro1/
@@ -102,7 +102,7 @@ lemma rsx_lref_pair (h) (G):
 (* Basic_2A1: uses: lsx_lref_be *)
 lemma rsx_lref_pair_drops (h) (G):
       ∀K,V. ❪G,K❫ ⊢ ⬈*[h] 𝐒❪V❫ → G ⊢ ⬈*[h,V] 𝐒❪K❫ →
-      ∀I,i,L. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫.
+      ∀I,i,L. ⇩[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,#i] 𝐒❪L❫.
 #h #G #K #V #HV #HK #I #i elim i -i
 [ #L #H >(drops_fwd_isid … H) -H /2 width=1 by rsx_lref_pair/
 | #i #IH #L #H