qed-.
(* Basic_1: was: pc3_gen_lift *)
-lemma cpcs_inv_lift: â\88\80G,L,K,b,l,k. â¬\87[b, l, k] L â\89¡ K →
- â\88\80T1,U1. â¬\86[l, k] T1 â\89¡ U1 â\86\92 â\88\80T2,U2. â¬\86[l, k] T2 â\89¡ U2 →
+lemma cpcs_inv_lift: â\88\80G,L,K,b,l,k. â¬\87[b, l, k] L â\89\98 K →
+ â\88\80T1,U1. â¬\86[l, k] T1 â\89\98 U1 â\86\92 â\88\80T2,U2. â¬\86[l, k] T2 â\89\98 U2 →
⦃G, L⦄ ⊢ U1 ⬌* U2 → ⦃G, K⦄ ⊢ T1 ⬌* T2.
#G #L #K #b #l #k #HLK #T1 #U1 #HTU1 #T2 #U2 #HTU2 #HU12
elim (cpcs_inv_cprs … HU12) -HU12 #U #HU1 #HU2
qed-.
(* Basic_1: was: pc3_lift *)
-lemma cpcs_lift: â\88\80G,L,K,b,l,k. â¬\87[b, l, k] L â\89¡ K →
- â\88\80T1,U1. â¬\86[l, k] T1 â\89¡ U1 â\86\92 â\88\80T2,U2. â¬\86[l, k] T2 â\89¡ U2 →
+lemma cpcs_lift: â\88\80G,L,K,b,l,k. â¬\87[b, l, k] L â\89\98 K →
+ â\88\80T1,U1. â¬\86[l, k] T1 â\89\98 U1 â\86\92 â\88\80T2,U2. â¬\86[l, k] T2 â\89\98 U2 →
⦃G, K⦄ ⊢ T1 ⬌* T2 → ⦃G, L⦄ ⊢ U1 ⬌* U2.
#G #L #K #b #l #k #HLK #T1 #U1 #HTU1 #T2 #U2 #HTU2 #HT12
elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2