(* Basic_1: was: cpcs_dec *)
lemma csx_cpcs_dec (h) (G) (L):
- â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ â¬\88*ð\9d\90\92 T1 â\86\92 â\88\80T2. â\9dªG,Lâ\9d« ⊢ ⬈*𝐒 T2 →
- Decidable â\80¦ (â\9dªG,Lâ\9d« ⊢ T1 ⬌*[h] T2).
+ â\88\80T1. â\9d¨G,Lâ\9d© â\8a¢ â¬\88*ð\9d\90\92 T1 â\86\92 â\88\80T2. â\9d¨G,Lâ\9d© ⊢ ⬈*𝐒 T2 →
+ Decidable â\80¦ (â\9d¨G,Lâ\9d© ⊢ T1 ⬌*[h] T2).
#h #G #L #T1 #HT1 #T2 #HT2
elim (cprre_total_csx h … HT1) -HT1 #U1 #HTU1
elim (cprre_total_csx h … HT2) -HT2 #U2 #HTU2