X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Ffpbc%2Ffpbc_fleq.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fetc%2Ffpbc%2Ffpbc_fleq.etc;h=0000000000000000000000000000000000000000;hb=09b4420070d6a71990e16211e499b51dbb0742cb;hp=aa5cd7f2b490542e62043beb2e48d3c484bf6bf9;hpb=bba53a83579540bc3925d47d679e2aad22e85755;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/fpbc/fpbc_fleq.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/fpbc/fpbc_fleq.etc deleted file mode 100644 index aa5cd7f2b..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/etc/fpbc/fpbc_fleq.etc +++ /dev/null @@ -1,34 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||M|| *) -(* ||A|| A project by Andrea Asperti *) -(* ||T|| *) -(* ||I|| Developers: *) -(* ||T|| The HELM team. *) -(* ||A|| http://helm.cs.unibo.it *) -(* \ / *) -(* \ / This file is distributed under the terms of the *) -(* v GNU General Public License Version 2 *) -(* *) -(**************************************************************************) - -include "basic_2/multiple/fleq_fleq.ma". -include "basic_2/reduction/fpbu_fleq.ma". -include "basic_2/reduction/fpbc.ma". - -(* "QRST" PROPER PARALLEL REDUCTION FOR CLOSURES ****************************) - -(* Properties on lazy equivalence on closures *******************************) - -lemma fpbc_fleq_trans: ∀h,g,G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G, L, T⦄ → - ⦃G, L, T⦄ ≡[0] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄. -#h #g #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 * -/3 width=9 by fleq_trans, ex2_3_intro/ -qed-. - -lemma fleq_fpbc_trans: ∀h,g,G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ≡[0] ⦃G, L, T⦄ → - ⦃G, L, T⦄ ≻≡[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄. -#h #g #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 * -#G0 #L0 #T0 #H0 #H02 elim (fleq_fpbu_trans … H1 … H0) -G -L -T -/3 width=9 by fleq_trans, ex2_3_intro/ -qed-.