X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flpxs_rdeq.ma;h=dd0a02ce285de71fedd6bb640385f61745f335e7;hp=2bc873339eb4826b50af090c2cc512498b5c996e;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_rdeq.ma index 2bc873339..dd0a02ce2 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_rdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_rdeq.ma @@ -21,9 +21,9 @@ include "basic_2/rt_computation/lpxs_lpx.ma". (* Basic_2A1: uses: lleq_lpxs_trans *) lemma rdeq_lpxs_trans (h) (G) (T:term): - ∀L2,K2. ⦃G, L2⦄ ⊢ ⬈*[h] K2 → + ∀L2,K2. ⦃G,L2⦄ ⊢ ⬈*[h] K2 → ∀L1. L1 ≛[T] L2 → - ∃∃K1. ⦃G, L1⦄ ⊢ ⬈*[h] K1 & K1 ≛[T] K2. + ∃∃K1. ⦃G,L1⦄ ⊢ ⬈*[h] K1 & K1 ≛[T] K2. #h #G #T #L2 #K2 #H @(lpxs_ind_sn … H) -L2 /2 width=3 by ex2_intro/ #L #L2 #HL2 #_ #IH #L1 #HT elim (rdeq_lpx_trans … HL2 … HT) -L #L #HL1 #HT @@ -33,9 +33,9 @@ qed-. (* Basic_2A1: uses: lpxs_nlleq_inv_step_sn *) lemma lpxs_rdneq_inv_step_sn (h) (G) (T:term): - ∀L1,L2. ⦃G, L1⦄ ⊢ ⬈*[h] L2 → (L1 ≛[T] L2 → ⊥) → - ∃∃L,L0. ⦃G, L1⦄ ⊢ ⬈[h] L & L1 ≛[T] L → ⊥ & - ⦃G, L⦄ ⊢ ⬈*[h] L0 & L0 ≛[T] L2. + ∀L1,L2. ⦃G,L1⦄ ⊢ ⬈*[h] L2 → (L1 ≛[T] L2 → ⊥) → + ∃∃L,L0. ⦃G,L1⦄ ⊢ ⬈[h] L & L1 ≛[T] L → ⊥ & + ⦃G,L⦄ ⊢ ⬈*[h] L0 & L0 ≛[T] L2. #h #G #T #L1 #L2 #H @(lpxs_ind_sn … H) -L1 [ #H elim H -H // | #L1 #L #H1 #H2 #IH2 #H12 elim (rdeq_dec L1 L T) #H