proposition: Lemma AU2 (xm : XM) (dc : DC_ X) P Q w : pAU R P Q w -> cAU R P Q w.
proof: Proof. Proof using R_serial. move => H. apply: (dn xm) => C. apply (dmAU xm) in C. apply (ER1 R_serial xm dc) in C. move: H. exact: pAU_pER. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(all_ssreflect) CompDecModal.libs(edone bcase fset base modular_hilbert) CompDecModal.CTL(CTL_def hilbert)