Definition forces_t (k : kripke_tree) := forces_t2 k k.

Lemma forces_a0_imp_a1_imp_b__forces_a0_and_a1_imp_b_t : forall k : kripke_tree, Is_Monotone_kripke_tree k -> forall a0 a1 b : form, forces_t k (Imp a0 (Imp a1 b)) -> forces_t k (Imp (AndF a0 a1) b).