proposition: Lemma histU C (H : {fset clause}) : prv (hist (C |` H) <--> ~~: [af C] :/\: hist H).
proof: Proof. rule axAI. - rewrite {1}/hist. by rewrite -> andU, bigA1. - rewrite {2}/hist. by rewrite -> andU, bigA1. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(all_ssreflect) CompDecModal.libs(edone bcase fset base modular_hilbert sltype) CompDecModal.CTL(CTL_def gen_def hilbert hilbert_hist)