proposition: Lemma distribute_impl_conj: forall P Q R: Prop, ((P -> Q) /\ (P -> R)) -> (P -> (Q /\ R)).
proof: Proof. intros. destruct H. split. apply H. assumption. apply H1. assumption. Qed.
imports: Coq(Bool Peano List PeanoNat) CoLoR(closure more_list equiv_list list_permut dickson) Coq(Relations Wellfounded Arith Wf_nat Recdef Program Morphisms Lia) CoLoR(term_spec term decidable_set ordered_set NatCompat)