X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fgcp_cr.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Fgcp_cr.ma;h=562169f0cb3784f800e0bd32eebbd484bf090413;hb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;hp=b9fa92b4d2e24ac3dc9733e6eddb8a071e9c7c44;hpb=24ba1bb3f67505d3e384747ff90d26d3996bd3f5;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma b/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma
index b9fa92b4d..562169f0c 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/gcp_cr.ma
@@ -39,7 +39,7 @@ definition S4 ≝ λRP,C:candidate.
                 ∀G,L,Vs. all … (RP G L) Vs → ∀s. C G L (ⒶVs.⋆s).
 
 definition S5 ≝ λC:candidate. ∀I,G,L,K,Vs,V1,V2,i.
-                C G L (ⒶVs.V2) → ⬆*[⫯i] V1 ≘ V2 →
+                C G L (ⒶVs.V2) → ⬆*[↑i] V1 ≘ V2 →
                 ⬇*[i] L ≘ K.ⓑ{I}V1 → C G L (ⒶVs.#i).
 
 definition S6 ≝ λRP,C:candidate.
@@ -130,7 +130,7 @@ lemma acr_gcr: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP →
   lapply (drops_tls_at … Hf … HY) -HY #HY
   elim (drops_inv_skip2 … HY) -HY #Z #K0 #HK0 #HZ #H destruct
   elim (liftsb_inv_pair_sn … HZ) -HZ #W1 #HVW1 #H destruct
-  elim (lifts_total W1 (𝐔❴⫯j❵)) #W2 #HW12
+  elim (lifts_total W1 (𝐔❴↑j❵)) #W2 #HW12
   lapply (lifts_trans … HVW1 … HW12 ??) -HVW1 [3: |*: // ] #H
   lapply (lifts_conf … HV12 … H f ?) -V1 [ /2 width=3 by after_uni_succ_sn/ ] #HVW2
   @(s5 … IHA … (V0@V0s) … HW12) /3 width=4 by drops_inv_gen, lifts_applv/
@@ -140,10 +140,10 @@ lemma acr_gcr: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP →
   elim (lifts_total V10 (𝐔❴1❵)) #V20 #HV120
   elim (liftsv_total (𝐔❴1❵) V10s) #V20s #HV120s
   @(s6 … IHA … (V10@V10s) (V20@V20s)) /3 width=7 by cp2, liftsv_cons/
-  @(HA … (↑f)) /3 width=2 by drops_skip, ext2_pair/
+  @(HA … (⫯f)) /3 width=2 by drops_skip, ext2_pair/
   [ @lifts_applv //
     lapply (liftsv_trans … HV10s … HV120s ??) -V10s [3: |*: // ] #H
-    elim (liftsv_split_trans … H (𝐔❴1❵) (↑f)) /2 width=1 by after_uni_one_sn/ #V10s #HV10s #HV120s
+    elim (liftsv_split_trans … H (𝐔❴1❵) (⫯f)) /2 width=1 by after_uni_one_sn/ #V10s #HV10s #HV120s
     >(liftsv_mono … HV12s … HV10s) -V1s //
   | @(acr_lifts … H1RP … HB … HV120) /3 width=2 by drops_refl, drops_drop/
   ]
@@ -156,7 +156,7 @@ qed.
 
 lemma acr_abst: ∀RR,RS,RP. gcp RR RS RP → gcr RR RS RP RP →
                 ∀p,G,L,W,T,A,B. ⦃G, L, W⦄ ϵ[RP] 〚B〛 → (
-                   ∀b,f,L0,V0,W0,T0. ⬇*[b, f] L0 ≘ L → ⬆*[f] W ≘ W0 → ⬆*[↑f] T ≘ T0 →
+                   ∀b,f,L0,V0,W0,T0. ⬇*[b, f] L0 ≘ L → ⬆*[f] W ≘ W0 → ⬆*[⫯f] T ≘ T0 →
                                    ⦃G, L0, V0⦄ ϵ[RP] 〚B〛 → ⦃G, L0, W0⦄ ϵ[RP] 〚B〛 → ⦃G, L0.ⓓⓝW0.V0, T0⦄ ϵ[RP] 〚A〛
                 ) →
                 ⦃G, L, ⓛ{p}W.T⦄ ϵ[RP] 〚②B.A〛.