X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_fqus.ma;h=e0a3b7215a1299a2b7ad45dbd2e9f456fb939be9;hb=cfd201c62dd9b854bfb4ada648d3e556b29fac3a;hp=50e4edbee00f04ccd9d58d09a0bdfcbea546ead6;hpb=5b5dca0c118dfbe3ba8f0514ef07549544eb7810;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma index 50e4edbee..e0a3b7215 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fqus.ma @@ -21,8 +21,8 @@ include "basic_2/dynamic/cnv_drops.ma". (* Basic_2A1: uses: snv_fqu_conf *) lemma cnv_fqu_conf (h) (a): - ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂ ⦃G2,L2,T2⦄ → - ⦃G1,L1⦄ ⊢ T1 ![h,a] → ⦃G2,L2⦄ ⊢ T2 ![h,a]. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂ ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ T1 ![h,a] → ❨G2,L2❩ ⊢ T2 ![h,a]. #h #a #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 [ #I1 #G1 #L1 #V1 #H elim (cnv_inv_zero … H) -H #I2 #L2 #V2 #HV2 #H destruct // @@ -38,31 +38,31 @@ lemma cnv_fqu_conf (h) (a): [ elim (cnv_inv_appl … H) -H // | elim (cnv_inv_cast … H) -H // ] -| #I1 #G1 #L1 #T1 #U1 #HTU1 #HU +| #I1 #G1 #L1 #T1 #U1 #HTU1 #HU /4 width=7 by cnv_inv_lifts, drops_refl, drops_drop/ ] qed-. (* Basic_2A1: uses: snv_fquq_conf *) lemma cnv_fquq_conf (h) (a): - ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂⸮ ⦃G2,L2,T2⦄ → - ⦃G1,L1⦄ ⊢ T1 ![h,a] → ⦃G2,L2⦄ ⊢ T2 ![h,a]. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂⸮ ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ T1 ![h,a] → ❨G2,L2❩ ⊢ T2 ![h,a]. #h #a #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -H [|*] /2 width=5 by cnv_fqu_conf/ qed-. (* Basic_2A1: uses: snv_fqup_conf *) lemma cnv_fqup_conf (h) (a): - ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂+ ⦃G2,L2,T2⦄ → - ⦃G1,L1⦄ ⊢ T1 ![h,a] → ⦃G2,L2⦄ ⊢ T2 ![h,a]. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂+ ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ T1 ![h,a] → ❨G2,L2❩ ⊢ T2 ![h,a]. #h #a #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2 /3 width=5 by fqup_strap1, cnv_fqu_conf/ qed-. (* Basic_2A1: uses: snv_fqus_conf *) lemma cnv_fqus_conf (h) (a): - ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂* ⦃G2,L2,T2⦄ → - ⦃G1,L1⦄ ⊢ T1 ![h,a] → ⦃G2,L2⦄ ⊢ T2 ![h,a]. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂* ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ T1 ![h,a] → ❨G2,L2❩ ⊢ T2 ![h,a]. #h #a #G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqus_inv_fqup … H) -H [|*] /2 width=5 by cnv_fqup_conf/ qed-.