X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Flifts_basic.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Flifts_basic.ma;h=6d2ca03d9cca00fadb643d4bb80b597501936ed4;hb=db020b4218272e2e35641ce3bc3b0a9b3afda899;hp=0000000000000000000000000000000000000000;hpb=d8f6494f48aa08bb32d9d1ac82fc16e9e41b76ac;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_basic.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_basic.ma new file mode 100644 index 000000000..6d2ca03d9 --- /dev/null +++ b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_basic.ma @@ -0,0 +1,36 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +include "ground_2/relocation/rtmap_basic_after.ma". +include "static_2/notation/relations/rlift_4.ma". +include "static_2/relocation/lifts.ma". + +(* GENERIC RELOCATION FOR TERMS *********************************************) + +interpretation "basic relocation (term)" + 'RLift m n T1 T2 = (lifts (basic m n) T1 T2). + +(* Properties with basic relocation *****************************************) + +lemma lifts_lref_lt (m,n,i): i < m → ⬆[m,n] #i ≘ #i. +/3 width=1 by lifts_lref, at_basic_lt/ qed. + +lemma lifts_lref_ge (m,n,i): m ≤ i → ⬆[m,n] #i ≘ #(n+i). +/3 width=1 by lifts_lref, at_basic_ge/ qed. + +lemma lifts_lref_ge_minus (m,n,i): n+m ≤ i → ⬆[m,n] #(i-n) ≘ #i. +#m #n #i #Hi +>(plus_minus_m_m i n) in ⊢ (???%); +/3 width=2 by lifts_lref_ge, le_plus_to_minus_l, le_plus_b/ +qed.