X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Funwind%2Funwind2_rmap_eq.ma;h=b93aabf0ffb8316da2e18428b92a6a9b54798acd;hb=119da3f9ce130f7c4e8b23fcc491d221472ad657;hp=7ca7f175c40dc5e9a6e9f3e0d2ebcce8539e6ded;hpb=ad6182251b8192ee7d25c53156afbce35e3715b6;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_eq.ma index 7ca7f175c..b93aabf0f 100644 --- a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_eq.ma +++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_eq.ma @@ -13,30 +13,24 @@ (**************************************************************************) include "delayed_updating/unwind/unwind2_rmap.ma". +include "delayed_updating/unwind/preunwind2_rmap_eq.ma". include "ground/relocation/tr_uni_compose.ma". -include "ground/relocation/tr_compose_eq.ma". -include "ground/relocation/tr_pn_eq.ma". include "ground/arith/nat_rplus_pplus.ma". -(* UNWIND MAP FOR PATH ******************************************************) +(* TAILED UNWIND FOR RELOCATION MAP *****************************************) -(* Constructions with stream_eq *********************************************) +(* Constructions with tr_map_eq *********************************************) lemma unwind2_rmap_eq_repl (p): stream_eq_repl … (λf1,f2. ▶[f1]p ≗ ▶[f2]p). #p elim p -p // -* [ #n ] #p #IH #f1 #f2 #Hf -[ /3 width=1 by tr_compose_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 preunwind2_rmap_eq_repl/ qed-. -lemma tls_unwind2_rmap_d_sn (f) (p) (m) (n): - ⇂*[m+n]▶[f]p ≗ ⇂*[m]▶[f](𝗱n◗p). -#f #p #m #n -nrplus_inj_dx +lemma tls_unwind2_rmap_d_dx (f) (p) (h) (k): + ⇂*[h+k]▶[f]p ≗ ⇂*[h]▶[f](p◖𝗱k). +#f #p #h #k +nrplus_inj_dx /2 width=1 by tr_tls_compose_uni_dx/ qed.