lemma fqus_inv_lref1: ∀b,G1,G2,L1,L2,T2,i. ⦃G1, L1, #i⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
∨∨ ∧∧ G1 = G2 & L1 = L2 & #i = T2
| ∃∃J,L,V. ⦃G1, L, V⦄ ⊐*[b] ⦃G2, L2, T2⦄ & L1 = L.ⓑ{J}V & i = 0
- | â\88\83â\88\83J,L,j. â¦\83G1, L, #jâ¦\84 â\8a\90*[b] â¦\83G2, L2, T2â¦\84 & L1 = L.â\93\98{J} & i = ⫯j.
+ | â\88\83â\88\83J,L,j. â¦\83G1, L, #jâ¦\84 â\8a\90*[b] â¦\83G2, L2, T2â¦\84 & L1 = L.â\93\98{J} & i = â\86\91j.
#b #G1 #G2 #L1 #L2 #T2 #i #H elim (fqus_inv_fqu_sn … H) -H * /3 width=1 by and3_intro, or3_intro0/
#G #L #T #H elim (fqu_inv_lref1 … H) -H * /3 width=7 by or3_intro1, or3_intro2, ex3_4_intro, ex3_3_intro/
qed-.
#H1 #H2 #H3 #H destruct /2 width=1 by or_intror/
qed-.
-lemma fqus_inv_lref1_bind: â\88\80b,I,G1,G2,L1,L2,T2,i. â¦\83G1, L1.â\93\98{I}, #⫯i⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
- (â\88§â\88§ G1 = G2 & L1.â\93\98{I} = L2 & #(⫯i) = T2) ∨ ⦃G1, L1, #i⦄ ⊐*[b] ⦃G2, L2, T2⦄.
+lemma fqus_inv_lref1_bind: â\88\80b,I,G1,G2,L1,L2,T2,i. â¦\83G1, L1.â\93\98{I}, #â\86\91i⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
+ (â\88§â\88§ G1 = G2 & L1.â\93\98{I} = L2 & #(â\86\91i) = T2) ∨ ⦃G1, L1, #i⦄ ⊐*[b] ⦃G2, L2, T2⦄.
#b #I #G1 #G2 #L1 #L2 #T2 #i #H elim (fqus_inv_fqu_sn … H) -H * /3 width=1 by and3_intro, or_introl/
#G #L #T #H elim (fqu_inv_lref1_bind … H) -H
#H1 #H2 #H3 #H destruct /2 width=1 by or_intror/