update in ground_2, static_2, basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma
index 5ab4a39153cddbe148eedb432f0a76be4053950a..0ee400264a0b79f448db969031526790ef9ef0ed 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cpxs.ma
@@ -52,7 +52,7 @@ theorem cpxs_beta: ∀h,p,G,L,V1,V2,W1,W2,T1,T2.
 qed.
 
 theorem cpxs_theta_rc: ∀h,p,G,L,V1,V,V2,W1,W2,T1,T2.
-                       ❪G,L❫ ⊢ V1 ⬈[h] V → ⇧*[1] V ≘ V2 →
+                       ❪G,L❫ ⊢ V1 ⬈[h] V → ⇧[1] V ≘ V2 →
                        ❪G,L.ⓓW1❫ ⊢ T1 ⬈*[h] T2 → ❪G,L❫ ⊢ W1 ⬈*[h] W2 →
                        ❪G,L❫ ⊢ ⓐV1.ⓓ[p]W1.T1 ⬈*[h] ⓓ[p]W2.ⓐV2.T2.
 #h #p #G #L #V1 #V #V2 #W1 #W2 #T1 #T2 #HV1 #HV2 #HT12 #H @(cpxs_ind … H) -W2
@@ -60,7 +60,7 @@ theorem cpxs_theta_rc: ∀h,p,G,L,V1,V,V2,W1,W2,T1,T2.
 qed.
 
 theorem cpxs_theta: ∀h,p,G,L,V1,V,V2,W1,W2,T1,T2.
-                    ⇧*[1] V ≘ V2 → ❪G,L❫ ⊢ W1 ⬈*[h] W2 →
+                    ⇧[1] V ≘ V2 → ❪G,L❫ ⊢ W1 ⬈*[h] W2 →
                     ❪G,L.ⓓW1❫ ⊢ T1 ⬈*[h] T2 → ❪G,L❫ ⊢ V1 ⬈*[h] V →
                     ❪G,L❫ ⊢ ⓐV1.ⓓ[p]W1.T1 ⬈*[h] ⓓ[p]W2.ⓐV2.T2.
 #h #p #G #L #V1 #V #V2 #W1 #W2 #T1 #T2 #HV2 #HW12 #HT12 #H @(TC_ind_dx … V1 H) -V1
@@ -73,7 +73,7 @@ lemma cpxs_inv_appl1: ∀h,G,L,V1,T1,U2. ❪G,L❫ ⊢ ⓐV1.T1 ⬈*[h] U2 →
                       ∨∨ ∃∃V2,T2.       ❪G,L❫ ⊢ V1 ⬈*[h] V2 & ❪G,L❫ ⊢ T1 ⬈*[h] T2 &
                                         U2 = ⓐV2.T2
                        | ∃∃p,W,T.       ❪G,L❫ ⊢ T1 ⬈*[h] ⓛ[p]W.T & ❪G,L❫ ⊢ ⓓ[p]ⓝW.V1.T ⬈*[h] U2
-                       | ∃∃p,V0,V2,V,T. ❪G,L❫ ⊢ V1 ⬈*[h] V0 & ⇧*[1] V0 ≘ V2 &
+                       | ∃∃p,V0,V2,V,T. ❪G,L❫ ⊢ V1 ⬈*[h] V0 & ⇧[1] V0 ≘ V2 &
                                         ❪G,L❫ ⊢ T1 ⬈*[h] ⓓ[p]V.T & ❪G,L❫ ⊢ ⓓ[p]V.ⓐV2.T ⬈*[h] U2.
 #h #G #L #V1 #T1 #U2 #H @(cpxs_ind … H) -U2 [ /3 width=5 by or3_intro0, ex3_2_intro/ ]
 #U #U2 #_ #HU2 * *