(* Note: This invalidates rpxs_cpx_conf: "∀h, G. s_r_confluent1 … (cpx h G) (rpxs h G)" *)
lemma rpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈[h] T1 →
∀L2. ❪G,L0❫ ⊢⬈[h,T0] L2 → ❪L2,T1❫ ⊆ ❪L0,T0❫.
(* Note: This invalidates rpxs_cpx_conf: "∀h, G. s_r_confluent1 … (cpx h G) (rpxs h G)" *)
lemma rpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈[h] T1 →
∀L2. ❪G,L0❫ ⊢⬈[h,T0] L2 → ❪L2,T1❫ ⊆ ❪L0,T0❫.