+
+lemma aaa_teqg_conf (S) (G) (L) (A):
+ reflexive … S →
+ ∀T1. ❨G,L❩ ⊢ T1 ⁝ A → ∀T2. T1 ≛[S] T2 → ❨G,L❩ ⊢ T2 ⁝ A.
+/3 width=7 by aaa_teqg_conf_reqg, reqg_refl/ qed-.
+
+lemma aaa_reqg_conf (S) (G) (T) (A):
+ reflexive … S →
+ ∀L1. ❨G,L1❩ ⊢ T ⁝ A → ∀L2. L1 ≛[S,T] L2 → ❨G,L2❩ ⊢ T ⁝ A.
+/3 width=7 by aaa_teqg_conf_reqg, teqg_refl/ qed-.