X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Flpr_drop.ma;h=8254c0bdedc37b887f11088af88d734215cb8953;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=f9701a1abea1fe91d6fb3337af2e50dbb72d7922;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpr_drop.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpr_drop.ma index f9701a1ab..8254c0bde 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/lpr_drop.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/lpr_drop.ma @@ -39,8 +39,8 @@ lemma fqu_cpr_trans_dx: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2 ∃∃L,U1. ⦃G1, L1⦄ ⊢ ➡ L & ⦃G1, L⦄ ⊢ T1 ➡ U1 & ⦃G1, L, U1⦄ ⊐ ⦃G2, L2, U2⦄. #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 /3 width=5 by fqu_lref_O, fqu_pair_sn, fqu_bind_dx, fqu_flat_dx, lpr_pair, cpr_pair_sn, cpr_atom, cpr_bind, cpr_flat, ex3_2_intro/ -#G #L #K #U #T #e #HLK #HUT #U2 #HU2 -elim (lift_total U2 0 (e+1)) #T2 #HUT2 +#G #L #K #U #T #m #HLK #HUT #U2 #HU2 +elim (lift_total U2 0 (m+1)) #T2 #HUT2 lapply (cpr_lift … HU2 … HLK … HUT … HUT2) -HU2 -HUT /3 width=9 by fqu_drop, ex3_2_intro/ qed-. @@ -58,8 +58,8 @@ lemma fqu_cpr_trans_sn: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2 ∃∃L,U1. ⦃G1, L1⦄ ⊢ ➡ L & ⦃G1, L1⦄ ⊢ T1 ➡ U1 & ⦃G1, L, U1⦄ ⊐ ⦃G2, L2, U2⦄. #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 /3 width=5 by fqu_lref_O, fqu_pair_sn, fqu_bind_dx, fqu_flat_dx, lpr_pair, cpr_pair_sn, cpr_atom, cpr_bind, cpr_flat, ex3_2_intro/ -#G #L #K #U #T #e #HLK #HUT #U2 #HU2 -elim (lift_total U2 0 (e+1)) #T2 #HUT2 +#G #L #K #U #T #m #HLK #HUT #U2 #HU2 +elim (lift_total U2 0 (m+1)) #T2 #HUT2 lapply (cpr_lift … HU2 … HLK … HUT … HUT2) -HU2 -HUT /3 width=9 by fqu_drop, ex3_2_intro/ qed-. @@ -80,7 +80,7 @@ lemma fqu_lpr_trans: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ [ #a #I #G2 #L2 #V2 #T2 #X #H elim (lpr_inv_pair1 … H) -H #K2 #W2 #HLK2 #HVW2 #H destruct /3 width=5 by fqu_fquq, cpr_pair_sn, fqu_bind_dx, ex3_2_intro/ -| #G #L1 #K1 #T1 #U1 #e #HLK1 #HTU1 #K2 #HK12 +| #G #L1 #K1 #T1 #U1 #m #HLK1 #HTU1 #K2 #HK12 elim (drop_lpr_trans … HLK1 … HK12) -HK12 /3 width=7 by fqu_drop, ex3_2_intro/ ]