X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Flifts_lifts_bind.ma;h=c1c66d978db0c10a95436aff098f401334771da8;hb=98e786e1a6bd7b621e37ba7cd4098d4a0a6f8278;hp=e08ce99623bb64d2883ec077856fbb070f425809;hpb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_lifts_bind.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_lifts_bind.ma
index e08ce9962..c1c66d978 100644
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_lifts_bind.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_lifts_bind.ma
@@ -19,22 +19,22 @@ include "static_2/relocation/lifts_bind.ma".
 
 (* Main properties **********************************************************)
 
-theorem liftsb_div3: ∀f2,I,I2. ⬆*[f2] I2 ≘ I → ∀f,I1. ⬆*[f] I1 ≘ I →
-                     ∀f1. f2 ⊚ f1 ≘ f → ⬆*[f1] I1 ≘ I2.
+theorem liftsb_div3: ∀f2,I,I2. ⇧*[f2] I2 ≘ I → ∀f,I1. ⇧*[f] I1 ≘ I →
+                     ∀f1. f2 ⊚ f1 ≘ f → ⇧*[f1] I1 ≘ I2.
 #f2 #I #I2 * -I -I2 #I [2: #V #V2 #HV2 ] #f #I1 #H
 [ elim (liftsb_inv_pair_dx … H) | lapply (liftsb_inv_unit_dx … H) ] -H
 /3 width=6 by lifts_div3, ext2_pair, ext2_unit/
 qed-.
 
-theorem liftsb_trans: ∀f1,I1,I. ⬆*[f1] I1 ≘ I → ∀f2,I2. ⬆*[f2] I ≘ I2 →
-                      ∀f. f2 ⊚ f1 ≘ f → ⬆*[f] I1 ≘ I2.
+theorem liftsb_trans: ∀f1,I1,I. ⇧*[f1] I1 ≘ I → ∀f2,I2. ⇧*[f2] I ≘ I2 →
+                      ∀f. f2 ⊚ f1 ≘ f → ⇧*[f] I1 ≘ I2.
 #f1 #I1 #I * -I1 -I #I1 [2: #V1 #V #HV1 ] #f2 #I2 #H
 [ elim (liftsb_inv_pair_sn … H) | lapply (liftsb_inv_unit_sn … H) ] -H
 /3 width=6 by lifts_trans, ext2_pair, ext2_unit/
 qed-.
 
-theorem liftsb_conf: ∀f1,I,I1. ⬆*[f1] I ≘ I1 → ∀f,I2. ⬆*[f] I ≘ I2 →
-                     ∀f2. f2 ⊚ f1 ≘ f → ⬆*[f2] I1 ≘ I2.
+theorem liftsb_conf: ∀f1,I,I1. ⇧*[f1] I ≘ I1 → ∀f,I2. ⇧*[f] I ≘ I2 →
+                     ∀f2. f2 ⊚ f1 ≘ f → ⇧*[f2] I1 ≘ I2.
 #f1 #I #I1 * -I -I1 #I [2: #V #V1 #HV1 ] #f2 #I2 #H
 [ elim (liftsb_inv_pair_sn … H) | lapply (liftsb_inv_unit_sn … H) ] -H
 /3 width=6 by lifts_conf, ext2_pair, ext2_unit/
@@ -43,11 +43,11 @@ qed-.
 (* Advanced proprerties *****************************************************)
 
 lemma liftsb_inj: ∀f. is_inj2 … (liftsb f).
-#f #T1 #U #H1 #T2 #H2 lapply (after_isid_dx 𝐈𝐝  … f)
+#f #T1 #U #H1 #T2 #H2 lapply (pr_after_isi_dx 𝐢  … f)
 /3 width=6 by liftsb_div3, liftsb_fwd_isid/
 qed-.
 
 lemma liftsb_mono: ∀f,T. is_mono … (liftsb f T).
-#f #T #U1 #H1 #U2 #H2 lapply (after_isid_sn 𝐈𝐝  … f)
+#f #T #U1 #H1 #U2 #H2 lapply (pr_after_isi_sn 𝐢  … f)
 /3 width=6 by liftsb_conf, liftsb_fwd_isid/
 qed-.