X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpr_fquq.ma;h=72c313796c5f9e544c1dbe9fd89754cd05f6e0ae;hb=fed8c1a61273b0eb4a719fda70e2b5dd31933c8a;hp=4fdd21f9e203701234a9e5a3e6e9c48829beed8b;hpb=b8e20d61b2e76f7a36f05b8803e60cc3388c0882;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fquq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fquq.ma
index 4fdd21f9e..72c313796 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fquq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpr_fquq.ma
@@ -26,16 +26,17 @@ lemma fqu_cpr_trans_dx: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2,
                         ∃∃L,U1. ⦃G1, L1⦄ ⊢ ➡[h, T1] L & ⦃G1, L⦄ ⊢ T1 ➡[h] U1 & ⦃G1, L, U1⦄ ⊐ ⦃G2, L2, U2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 /3 width=5 by lfpr_pair, cpr_pair_sn, cpr_flat, cpm_bind, fqu_lref_O, fqu_pair_sn, fqu_bind_dx, fqu_flat_dx, ex3_2_intro/
-#I #G #L #V #U #T #HUT #U2 #HU2 elim (cpm_lifts … HU2 (Ⓣ) … HUT) -U
+#I #G #L #V #U #T #HUT #U2 #HU2 elim (cpm_lifts_sn … HU2 (Ⓣ) … HUT) -U
 /3 width=9 by fqu_drop, drops_refl, drops_drop, ex3_2_intro/
 qed-.
 
+(* Basic_2A1: uses: fqu_lpr_trans *)
 lemma fqu_cpr_trans_sn: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ →
                         ∀U2. ⦃G2, L2⦄ ⊢ T2 ➡[h] U2 →
                         ∃∃L,U1. ⦃G1, L1⦄ ⊢ ➡[h, T1] L & ⦃G1, L1⦄ ⊢ T1 ➡[h] U1 & ⦃G1, L, U1⦄ ⊐ ⦃G2, L2, U2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 /3 width=5 by lfpr_pair, cpr_pair_sn, cpr_flat, cpm_bind, fqu_lref_O, fqu_pair_sn, fqu_bind_dx, fqu_flat_dx, ex3_2_intro/
-#I #G #L #V #U #T #HUT #U2 #HU2 elim (cpm_lifts … HU2 (Ⓣ) … HUT) -U
+#I #G #L #V #U #T #HUT #U2 #HU2 elim (cpm_lifts_sn … HU2 (Ⓣ) … HUT) -U
 /3 width=9 by fqu_drop, drops_refl, drops_drop, ex3_2_intro/
 qed-.
 
@@ -50,6 +51,7 @@ lemma fquq_cpr_trans_dx: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2,
 ]
 qed-.
 
+(* Basic_2A1: uses: fquq_lpr_trans *)
 lemma fquq_cpr_trans_sn: ∀h,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ →
                          ∀U2. ⦃G2, L2⦄ ⊢ T2 ➡[h] U2 →
                          ∃∃L,U1. ⦃G1, L1⦄ ⊢ ➡[h, T1] L & ⦃G1, L1⦄ ⊢ T1 ➡[h] U1 & ⦃G1, L, U1⦄ ⊐⸮ ⦃G2, L2, U2⦄.