(* Basic_1: was: pc3_pr3_r *)
lemma cpcs_cprs_dx: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T1 ⬌* T2.
-#G #L #T1 #T2 #H @(cprs_ind … H) -T2 /3 width=3 by cpcs_cpr_strap1, cpcs_strap1, cpc_cpcs/
+#G #L #T1 #T2 #H @(cprs_ind … H) -T2
+/3 width=3 by cpcs_cpr_strap1, cpcs_strap1, cpc_cpcs/
qed.
(* Basic_1: was: pc3_pr3_x *)
lemma cpcs_cprs_sn: ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T2 ➡* T1 → ⦃G, L⦄ ⊢ T1 ⬌* T2.
-#G #L #T1 #T2 #H @(cprs_ind_dx … H) -T2 /3 width=3 by cpcs_cpr_div, cpcs_strap1, cpcs_cprs_dx/
+#G #L #T1 #T2 #H @(cprs_ind_dx … H) -T2
+/3 width=3 by cpcs_cpr_div, cpcs_strap1, cpcs_cprs_dx/
qed.
lemma cpcs_cprs_strap1: ∀G,L,T1,T. ⦃G, L⦄ ⊢ T1 ⬌* T → ∀T2. ⦃G, L⦄ ⊢ T ➡* T2 → ⦃G, L⦄ ⊢ T1 ⬌* T2.
(* Basic_1: was: pc3_pr3_t *)
(* Basic_1: note: pc3_pr3_t should be renamed *)
lemma cprs_div: ∀G,L,T1,T. ⦃G, L⦄ ⊢ T1 ➡* T → ∀T2. ⦃G, L⦄ ⊢ T2 ➡* T → ⦃G, L⦄ ⊢ T1 ⬌* T2.
-#G #L #T1 #T #HT1 #T2 #H @(cprs_ind_dx … H) -T2 /2 width=3 by cpcs_cpr_div, cpcs_cprs_dx/
+#G #L #T1 #T #HT1 #T2 #H @(cprs_ind_dx … H) -T2
+/2 width=3 by cpcs_cpr_div, cpcs_cprs_dx/
qed.
lemma cprs_cpr_div: ∀G,L,T1,T. ⦃G, L⦄ ⊢ T1 ➡* T → ∀T2. ⦃G, L⦄ ⊢ T2 ➡ T → ⦃G, L⦄ ⊢ T1 ⬌* T2.