X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpg_simple.ma;h=4785791d03bb84445f154b2bc4533273349df5c2;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=0afd4cabb92814026224b81f400ee0d750249ca0;hpb=138e01310a2334cd531819122c794d72d14c6e8c;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma index 0afd4cabb..4785791d0 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma @@ -12,17 +12,17 @@ (* *) (**************************************************************************) -include "basic_2/grammar/term_simple.ma". +include "static_2/syntax/term_simple.ma". include "basic_2/rt_transition/cpg.ma". -(* COUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************) +(* BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS *****************) (* Properties with simple terms *********************************************) (* Note: the main property of simple terms *) -lemma cpg_inv_appl1_simple: ∀Rt,c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ⬈[Rt, c, h] U → 𝐒⦃T1⦄ → - ∃∃cV,cT,V2,T2. ⦃G, L⦄ ⊢ V1 ⬈[Rt, cV, h] V2 & ⦃G, L⦄ ⊢ T1 ⬈[Rt, cT, h] T2 & - U = ⓐV2.T2 & c = ((↓cV)∨cT). +lemma cpg_inv_appl1_simple: ∀Rt,c,h,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ⬈[Rt,c,h] U → 𝐒❪T1❫ → + ∃∃cV,cT,V2,T2. ❪G,L❫ ⊢ V1 ⬈[Rt,cV,h] V2 & ❪G,L❫ ⊢ T1 ⬈[Rt,cT,h] T2 & + U = ⓐV2.T2 & c = ((↕*cV)∨cT). #Rt #c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H * [ /2 width=8 by ex4_4_intro/ | #cV #cW #cT #p #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #H destruct