@ex2_intro [2: @(tpr_delta … HV12 HT1 HT0) | skip | /2 width=1/ ] (**) (* /3 width=5/ is too slow *)
qed.
-(* Basic_1: was only: pr2_head_1 *)
+(* Basic_1: was only: pr2_head_1 *)
lemma cpr_pair_sn: ∀I,L,V1,V2,T1,T2. L ⊢ V1 ➡ V2 → T1 ➡ T2 →
L ⊢ ②{I} V1. T1 ➡ ②{I} V2. T2.
* /2 width=1/ /3 width=1/
theorem cpr_conf: ∀L,U0,T1,T2. L ⊢ U0 ➡ T1 → L ⊢ U0 ➡ T2 →
∃∃T. L ⊢ T1 ➡ T & L ⊢ T2 ➡ T.
#L #U0 #T1 #T2 * #U1 #HU01 #HUT1 * #U2 #HU02 #HUT2
-elim (tpr_conf … HU01 HU02) -U0 #U #HU1 #HU2
+elim (tpr_conf … HU01 HU02) -U0 #U #HU1 #HU2
elim (tpr_tpss_ltpr ? L … HU1 … HUT1) -U1 // #U1 #HTU1 #HU1
elim (tpr_tpss_ltpr ? L … HU2 … HUT2) -U2 // #U2 #HTU2 #HU2
elim (tpss_conf_eq … HU1 … HU2) -U /3 width=5/