]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/apps_2/models/veq_lifts.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / apps_2 / models / veq_lifts.ma
index 943f8f5af9169bde5c8896aff7ce21d61c60f06f..13a0f9113c23e77285a929b81928b35b8ded52b2 100644 (file)
@@ -22,7 +22,7 @@ include "apps_2/models/veq.ma".
 
 fact lifts_fwd_vpush_aux (M): is_model M → is_extensional M →
                               ∀f,T1,T2. ⬆*[f] T1 ≘ T2 → ∀m. 𝐁❴m,1❵ = f →
-                              ∀gv,lv,d. ⟦T1⟧[gv, lv] ≗{M} ⟦T2⟧[gv, ⫯[m←d]lv].
+                              ∀gv,lv,d. ⟦T1⟧[gv,lv] ≗{M} ⟦T2⟧[gv,⫯[m←d]lv].
 #M #H1M #H2M #f #T1 #T2 #H elim H -f -T1 -T2
 [ #f #s #m #Hf #gv #lv #d
   @(mq … H1M) [4,5: /3 width=2 by seq_sym, ms/ |1,2: skip ]
@@ -40,6 +40,7 @@ fact lifts_fwd_vpush_aux (M): is_model M → is_extensional M →
   /2 width=1 by mr/
 | #f #p * #V1 #V2 #T1 #T2 #_ #_ #IHV #IHT #m #Hm #gv #lv #d destruct
   [ @(mq … H1M) [4,5: /3 width=2 by seq_sym, md/ |1,2: skip ]
+    @mc [3:|*: /2 width=1 by/ ]
     @(seq_trans … H1M)
     [3: @ti_comp // | skip ]
     [1,2: /2 width=2 by veq_refl/ ]
@@ -66,5 +67,5 @@ qed-.
 
 lemma lifts_SO_fwd_vpush (M) (gv): is_model M → is_extensional M →
                                    ∀T1,T2. ⬆*[1] T1 ≘ T2 →
-                                   ∀lv,d. ⟦T1⟧[gv, lv] ≗{M} ⟦T2⟧[gv, ⫯[0←d]lv].
+                                   ∀lv,d. ⟦T1⟧[gv,lv] ≗{M} ⟦T2⟧[gv,⫯[0←d]lv].
 /2 width=3 by lifts_fwd_vpush_aux/ qed-.