update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_constructors.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
index f263e2d140464896573bd1fddc5ebceaa2e322db..56f7b178a5400eda07f3e99156ee475719629b46 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
@@ -20,14 +20,14 @@ include "ground/relocation/nap.ma".
 (* LIFT FOR PROTOTERM *******************************************************)
 
 lemma lift_term_iref_pap_sn (f) (t:prototerm) (k:pnat):
-      (𝛕f＠⧣❨k❩.↑[⇂*[k]f]t) ⊆ ↑[f](𝛕k.t).
+      (𝛕f＠⧣❨k❩.🠡[⇂*[k]f]t) ⊆ 🠡[f](𝛕k.t).
 #f #t #k #p * #q * #r #Hr #H1 #H2 destruct
 @(ex2_intro … (𝗱k◗𝗺◗r))
 /2 width=1 by in_comp_iref/
 qed-.
 
 lemma lift_term_iref_pap_dx (f) (t) (k:pnat):
-      ↑[f](𝛕k.t) ⊆ 𝛕f＠⧣❨k❩.↑[⇂*[k]f]t.
+      🠡[f](𝛕k.t) ⊆ 𝛕f＠⧣❨k❩.🠡[⇂*[k]f]t.
 #f #t #k #p * #q #Hq #H0 destruct
 elim (in_comp_inv_iref … Hq) -Hq #p #H0 #Hp destruct
 <lift_path_d_sn <lift_path_m_sn
@@ -35,18 +35,18 @@ elim (in_comp_inv_iref … Hq) -Hq #p #H0 #Hp destruct
 qed-.
 
 lemma lift_term_iref_pap (f) (t) (k:pnat):
-      (𝛕f＠⧣❨k❩.↑[⇂*[k]f]t) ⇔ ↑[f](𝛕k.t).
+      (𝛕f＠⧣❨k❩.🠡[⇂*[k]f]t) ⇔ 🠡[f](𝛕k.t).
 /3 width=1 by conj, lift_term_iref_pap_sn, lift_term_iref_pap_dx/
 qed.
 
 lemma lift_term_iref_nap (f) (t) (n):
-      (𝛕↑(f＠§❨n❩).↑[⇂*[↑n]f]t) ⇔ ↑[f](𝛕↑n.t).
+      (𝛕↑(f＠§❨n❩).🠡[⇂*[↑n]f]t) ⇔ 🠡[f](𝛕↑n.t).
 #f #t #n
 >tr_pap_succ_nap //
 qed.
 
 lemma lift_term_iref_uni (t) (n) (k):
-      (𝛕(k+n).t) ⇔ ↑[𝐮❨n❩](𝛕k.t).
+      (𝛕(k+n).t) ⇔ 🠡[𝐮❨n❩](𝛕k.t).
 #t #n #k
 @(subset_eq_trans … (lift_term_iref_pap …))
 <tr_uni_pap >nsucc_pnpred <tr_tls_succ_uni