]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_rdeq.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_rdeq.ma
index 2bc873339eb4826b50af090c2cc512498b5c996e..dd0a02ce285de71fedd6bb640385f61745f335e7 100644 (file)
@@ -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