X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fcpy_cpy.ma;h=a601a989e05e4d4f8c79ba33c05721e826e9877e;hb=2ba2dc23443ad764adab652e06d6f5ed10bd912d;hp=2acd3705cb1cce97924da15f0ba3617fd87ff184;hpb=3d953276edded0659cc73489290da43fb3ebb94c;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma index 2acd3705c..a601a989e 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/cpy_cpy.ma @@ -32,11 +32,11 @@ theorem cpy_conf_eq: ∀G,L,T0,T1,d1,e1. ⦃G, L⦄ ⊢ T0 ▶×[d1, e1] T1 → ] | #a #I #G #L #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #X #d2 #e2 #HX elim (cpy_inv_bind1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct - lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V1) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02 - elim (IHV01 … HV02) -V0 #V #HV1 #HV2 + elim (IHV01 … HV02) -IHV01 -HV02 #V #HV1 #HV2 elim (IHT01 … HT02) -T0 #T #HT1 #HT2 - lapply (lsuby_cpy_trans … HT1 (L.ⓑ{I}V) ?) -HT1 /2 width=1 by lsuby_succ/ - lapply (lsuby_cpy_trans … HT2 (L.ⓑ{I}V) ?) -HT2 /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/ + lapply (lsuby_cpy_trans … HT1 (L.ⓑ{I}V1) ?) -HT1 /2 width=1 by lsuby_succ/ + lapply (lsuby_cpy_trans … HT2 (L.ⓑ{I}V2) ?) -HT2 + /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/ | #I #G #L #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #X #d2 #e2 #HX elim (cpy_inv_flat1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct elim (IHV01 … HV02) -V0 @@ -60,11 +60,11 @@ theorem cpy_conf_neq: ∀G,L1,T0,T1,d1,e1. ⦃G, L1⦄ ⊢ T0 ▶×[d1, e1] T1 ] | #a #I #G #L1 #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #L2 #X #d2 #e2 #HX #H elim (cpy_inv_bind1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct - elim (IHV01 … HV02 H) -V0 #V #HV1 #HV2 + elim (IHV01 … HV02 H) -IHV01 -HV02 #V #HV1 #HV2 elim (IHT01 … HT02) -T0 [ -H #T #HT1 #HT2 - lapply (lsuby_cpy_trans … HT1 (L2.ⓑ{I}V) ?) -HT1 /2 width=1 by lsuby_succ/ - lapply (lsuby_cpy_trans … HT2 (L1.ⓑ{I}V) ?) -HT2 /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/ + lapply (lsuby_cpy_trans … HT1 (L2.ⓑ{I}V1) ?) -HT1 /2 width=1 by lsuby_succ/ + lapply (lsuby_cpy_trans … HT2 (L1.ⓑ{I}V2) ?) -HT2 /3 width=5 by cpy_bind, lsuby_succ, ex2_intro/ | -HV1 -HV2 elim H -H /3 width=1 by yle_succ, or_introl, or_intror/ ] | #I #G #L1 #V0 #V1 #T0 #T1 #d1 #e1 #_ #_ #IHV01 #IHT01 #L2 #X #d2 #e2 #HX #H @@ -89,9 +89,8 @@ theorem cpy_trans_ge: ∀G,L,T1,T0,d,e. ⦃G, L⦄ ⊢ T1 ▶×[d, e] T0 → >yplus_inj #HVT2 <(cpy_inv_lift1_eq … HVW … HVT2) -HVT2 /2 width=5 by cpy_subst/ | #a #I #G #L #V1 #V0 #T1 #T0 #d #e #_ #_ #IHV10 #IHT10 #X #H #He elim (cpy_inv_bind1 … H) -H #V2 #T2 #HV02 #HT02 #H destruct - lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V0) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02 - lapply (IHT10 … HT02 He) -T0 #HT12 - lapply (lsuby_cpy_trans … HT12 (L.ⓑ{I}V2) ?) -HT12 /3 width=1 by cpy_bind, lsuby_succ/ + lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V1) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02 + lapply (IHT10 … HT02 He) -T0 /3 width=1 by cpy_bind/ | #I #G #L #V1 #V0 #T1 #T0 #d #e #_ #_ #IHV10 #IHT10 #X #H #He elim (cpy_inv_flat1 … H) -H #V2 #T2 #HV02 #HT02 #H destruct /3 width=1 by cpy_flat/ ] @@ -108,11 +107,10 @@ theorem cpy_trans_down: ∀G,L,T1,T0,d1,e1. ⦃G, L⦄ ⊢ T1 ▶×[d1, e1] T0 >yplus_inj #HWT2 <(cpy_inv_lift1_eq … HVW … HWT2) -HWT2 /3 width=9 by cpy_subst, ex2_intro/ | #a #I #G #L #V1 #V0 #T1 #T0 #d1 #e1 #_ #_ #IHV10 #IHT10 #X #d2 #e2 #HX #de2d1 elim (cpy_inv_bind1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct - lapply (lsuby_cpy_trans … HT02 (L. ⓑ{I} V0) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02 + lapply (lsuby_cpy_trans … HT02 (L.ⓑ{I}V1) ?) -HT02 /2 width=1 by lsuby_succ/ #HT02 elim (IHV10 … HV02) -IHV10 -HV02 // #V elim (IHT10 … HT02) -T0 /2 width=1 by yle_succ/ #T #HT1 #HT2 - lapply (lsuby_cpy_trans … HT1 (L. ⓑ{I} V) ?) -HT1 /2 width=1 by lsuby_succ/ - lapply (lsuby_cpy_trans … HT2 (L. ⓑ{I} V2) ?) -HT2 /3 width=6 by cpy_bind, lsuby_succ, ex2_intro/ + lapply (lsuby_cpy_trans … HT2 (L.ⓑ{I}V) ?) -HT2 /3 width=6 by cpy_bind, lsuby_succ, ex2_intro/ | #I #G #L #V1 #V0 #T1 #T0 #d1 #e1 #_ #_ #IHV10 #IHT10 #X #d2 #e2 #HX #de2d1 elim (cpy_inv_flat1 … HX) -HX #V2 #T2 #HV02 #HT02 #HX destruct elim (IHV10 … HV02) -V0 //