X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_lstar.ma;h=428fcd46043fe1ad8600ab5a18484b5517546bc5;hb=9b8d36ee041582f876543086e7659ed9e365e861;hp=5851e809e219742eccb201d9cd3a2772071bc08f;hpb=952ec5aa2e9a54787acb63a5c8d6fdbf9011ab60;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma index 5851e809e..428fcd460 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_lstar.ma @@ -22,9 +22,9 @@ include "basic_2/relocation/drops.ma". (* Basic_2A1: was: d_liftable_LTC *) lemma d2_liftable_LTC: ∀R. d_liftable2 R → d_liftable2 (LTC … R). #R #HR #K #T1 #T2 #H elim H -T2 -[ #T2 #HT12 #L #s #t #HLK #U1 #HTU1 +[ #T2 #HT12 #L #c #f #HLK #U1 #HTU1 elim (HR … HT12 … HLK … HTU1) /3 width=3 by inj, ex2_intro/ -| #T #T2 #_ #HT2 #IHT1 #L #s #t #HLK #U1 #HTU1 +| #T #T2 #_ #HT2 #IHT1 #L #c #f #HLK #U1 #HTU1 elim (IHT1 … HLK … HTU1) -T1 #U #HTU #HU1 elim (HR … HT2 … HLK … HTU) -HR -K -T /3 width=5 by step, ex2_intro/ ] @@ -33,38 +33,29 @@ qed-. (* Basic_2A1: was: d_deliftable_sn_LTC *) lemma d2_deliftable_sn_LTC: ∀R. d_deliftable2_sn R → d_deliftable2_sn (LTC … R). #R #HR #L #U1 #U2 #H elim H -U2 -[ #U2 #HU12 #K #s #t #HLK #T1 #HTU1 +[ #U2 #HU12 #K #c #f #HLK #T1 #HTU1 elim (HR … HU12 … HLK … HTU1) -HR -L -U1 /3 width=3 by inj, ex2_intro/ -| #U #U2 #_ #HU2 #IHU1 #K #s #t #HLK #T1 #HTU1 +| #U #U2 #_ #HU2 #IHU1 #K #c #f #HLK #T1 #HTU1 elim (IHU1 … HLK … HTU1) -IHU1 -U1 #T #HTU #HT1 elim (HR … HU2 … HLK … HTU) -HR -L -U /3 width=5 by step, ex2_intro/ ] qed-. -lemma dropable_sn_TC: ∀R. dropable_sn R → dropable_sn (TC … R). -#R #HR #L1 #K1 #s #t #HLK1 #L2 #H elim H -L2 -[ #L2 #HL12 elim (HR … HLK1 … HL12) -HR -L1 +lemma dropable_sn_TC: ∀R. dropable_sn R → dropable_sn (LTC … R). +#R #HR #L1 #K1 #c #f #HLK1 #L2 #f2 #H elim H -L2 +[ #L2 #HL12 #f1 #H elim (HR … HLK1 … HL12 … H) -HR -L1 -f2 /3 width=3 by inj, ex2_intro/ -| #L #L2 #_ #HL2 * #K #HK1 #HLK elim (HR … HLK … HL2) -HR -L +| #L #L2 #_ #HL2 #IH #f1 #H elim (IH … H) -IH + #K #HK1 #HLK elim (HR … HLK … HL2 … H) -HR -L -f2 /3 width=3 by step, ex2_intro/ ] qed-. -(* -lemma dropable_dx_TC: ∀R. dropable_dx R → dropable_dx (TC … R). -#R #HR #L1 #L2 #H elim H -L2 -[ #L2 #HL12 #K2 #s #m #HLK2 elim (HR … HL12 … HLK2) -HR -L2 - /3 width=3 by inj, ex2_intro/ -| #L #L2 #_ #HL2 #IHL1 #K2 #s #m #HLK2 elim (HR … HL2 … HLK2) -HR -L2 - #K #HLK #HK2 elim (IHL1 … HLK) -L - /3 width=5 by step, ex2_intro/ -] -qed-. -*) + (* Basic_2A1: was: d_liftable_llstar *) lemma d2_liftable_llstar: ∀R. d_liftable2 R → ∀d. d_liftable2 (llstar … R d). #R #HR #d #K #T1 #T2 #H @(lstar_ind_r … d T2 H) -d -T2 -[ #L #s #t #_ #U1 #HTU1 -HR -K -s /2 width=3 by ex2_intro/ -| #d #T #T2 #_ #HT2 #IHT1 #L #s #t #HLK #U1 #HTU1 +[ #L #c #f #_ #U1 #HTU1 -HR -K -c /2 width=3 by ex2_intro/ +| #d #T #T2 #_ #HT2 #IHT1 #L #c #f #HLK #U1 #HTU1 elim (IHT1 … HLK … HTU1) -T1 #U #HTU #HU1 elim (HR … HT2 … HLK … HTU) -T /3 width=5 by lstar_dx, ex2_intro/ ] @@ -75,7 +66,7 @@ lemma d2_deliftable_sn_llstar: ∀R. d_deliftable2_sn R → ∀d. d_deliftable2_sn (llstar … R d). #R #HR #d #L #U1 #U2 #H @(lstar_ind_r … d U2 H) -d -U2 [ /2 width=3 by lstar_O, ex2_intro/ -| #d #U #U2 #_ #HU2 #IHU1 #K #s #t #HLK #T1 #HTU1 +| #d #U #U2 #_ #HU2 #IHU1 #K #c #f #HLK #T1 #HTU1 elim (IHU1 … HLK … HTU1) -IHU1 -U1 #T #HTU #HT1 elim (HR … HU2 … HLK … HTU) -HR -L -U /3 width=5 by lstar_dx, ex2_intro/ ]