bug fix in supclosure allows alternative definition of fpbs !

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / fpbs_alt.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_alt.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_alt.ma
index dd982ac3713ddf172be5773b7769185291db97bb..1b0471ddbd6c71fd1e7313aa404643810c055285 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_alt.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbs_alt.ma
@@ -33,12 +33,15 @@ interpretation "'big tree' parallel computation (closure) alternative"
 lemma fpb_fpbsa_trans: ∀h,g,G1,G,L1,L,T1,T. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G, L, T⦄ →
                        ∀G2,L2,T2. ⦃G, L, T⦄ ≥≥[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥≥[h, g] ⦃G2, L2, T2⦄.
 #h #g #G1 #G #L1 #L #T1 #T * -G -L -T [ #G #L #T #HG1 | #T #HT1 | #L #HL1 ]   
-#G2 #L2 #T2 * #L0 #T0 #HT0 #HG2 #L2
+#G2 #L2 #T2 * #L0 #T0 #HT0 #HG2 #HL02
 [ elim (fsupq_cpxs_trans … HT0 … HG1) -T
   /3 width=7 by fsups_trans, ex3_2_intro/
 | /3 width=5 by cpxs_strap2, ex3_2_intro/
-| lapply (lpx_cpxs_trans … HT0 … HL1) -HT0 #HT10
+| lapply (lpx_cpxs_trans … HT0 … HL1) -HT0
+  elim (lpx_fsups_trans … HG2 … HL1) -L
+  /3 width=7 by lpxs_strap2, cpxs_trans, ex3_2_intro/
 ] 
+qed-.
 
 (* Main properties **********************************************************)
 
@@ -52,6 +55,6 @@ qed.
 
 theorem fpbsa_inv_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2.
                         ⦃G1, L1, T1⦄ ≥≥[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
-#h #g #G1 #G2 #L1 #L2 #T1 #T2 * 
+#h #g #G1 #G2 #L1 #L2 #T1 #T2 *
 /4 width=5 by fpbs_trans, fsups_fpbs, cpxs_fpbs, lpxs_fpbs/
 qed-.