X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2A%2Fetc%2Ffpn%2Ffpb.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2A%2Fetc%2Ffpn%2Ffpb.etc;h=e6698349d5beaa7d79a13fdf790a01c4e8359cd9;hb=1fd63df4c77f5c24024769432ea8492748b4ac79;hp=0000000000000000000000000000000000000000;hpb=277fc8ff21ce3dbd6893b1994c55cf5c06a98355;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/fpn/fpb.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/fpn/fpb.etc new file mode 100644 index 000000000..e6698349d --- /dev/null +++ b/matita/matita/contribs/lambdadelta/basic_2A/etc/fpn/fpb.etc @@ -0,0 +1,14 @@ +include "basic_2/reduction/fpn.ma". + +(* Basic forward lemmas *****************************************************) + +lemma fpb_bteq_fwd_fpn: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G2, L2, T2⦄ → + ⦃G1, L1, T1⦄ ⋕ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊢ ➡[h, g] ⦃G2, L2, T2⦄. +#h #g #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 /2 width=1 by and3_intro/ +[ #G2 #L2 #T2 #H elim (fquq_inv_gen … H) -H + [ #H1 #H2 elim (fqu_fwd_bteq … H1 H2) + | * #HG #HL #HT #_ destruct // + ] +| #T2 #HT12 * // +] +qed-.