X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsubstitution%2Flift_rmap_eq.ma;h=790b2e6054c0734ff88c98484494ce4301154b7a;hb=7008128d354c6e998a87bc2febe9f86ea714869c;hp=a2f841e43456f83c320ec7d0489787ec80f14110;hpb=5c2d38b46908f662cbb717156b29101ff30f8352;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma index a2f841e43..790b2e605 100644 --- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma +++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_rmap_eq.ma @@ -13,9 +13,8 @@ (**************************************************************************) include "delayed_updating/substitution/lift_rmap.ma". -include "ground/relocation/tr_pn_eq.ma". +include "delayed_updating/substitution/prelift_rmap_eq.ma". include "ground/lib/stream_tls_plus.ma". -include "ground/lib/stream_tls_eq.ma". include "ground/arith/nat_plus_rplus.ma". include "ground/arith/nat_rplus_pplus.ma". @@ -24,19 +23,14 @@ include "ground/arith/nat_rplus_pplus.ma". (* Constructions with lift_eq ***********************************************) lemma lift_rmap_eq_repl (p): - stream_eq_repl … (λf1,f2. ↑[p]f1 ≗ ↑[p]f2). + stream_eq_repl … (λf1,f2. 🠢[f1]p ≗ 🠢[f2]p). #p elim p -p // -* [ #k ] #p #IH #f1 #f2 #Hf -[ /3 width=1 by stream_tls_eq_repl/ -| /2 width=1 by/ -| /3 width=1 by tr_push_eq_repl/ -| /2 width=1 by/ -| /2 width=1 by/ -] +#l #p #IH #f1 #f2 #Hf +/3 width=1 by prelift_rmap_eq_repl/ qed. lemma tls_lift_rmap_d_dx (f) (p) (n) (k): - ⇂*[n+k]↑[p]f ≗ ⇂*[n]↑[p◖𝗱k]f. + ⇂*[n+k]🠢[f]p ≗ ⇂*[n]🠢[f](p◖𝗱k). #f #p #n #k nrplus_inj_dx >nrplus_inj_sn // qed.