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=7d4b85f06249ef0bb0f9ff78ba21ac99aff4f982;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=a53be69b04b218bad0b92569e7ddfb9fd3d051f1;hpb=f694e3336cbdabdeefd86f85d827edfd26bf3464;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 a53be69b0..7d4b85f06 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 @@ -12,18 +12,18 @@ (* *) (**************************************************************************) -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: ∀c,h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ⬈[c, h] U → 𝐒⦃T1⦄ → - ∃∃cV,cT,V2,T2. ⦃G, L⦄ ⊢ V1 ⬈[cV, h] V2 & ⦃G, L⦄ ⊢ T1 ⬈[cT, h] T2 & - U = ⓐV2.T2 & c = (↓cV)+cT. -#c #h #G #L #V1 #T1 #U #H #HT1 elim (cpg_inv_appl1 … H) -H * +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 elim (simple_inv_bind … HT1)