proposition: Fact dio_fun_equiv r s : (forall ν, s ν = r ν) -> 𝔻F r -> 𝔻F s.
proof: Proof. intros H1; apply dio_rel_equiv. abstract (intro; rewrite H1; tauto). Defined.
imports: Arith Nat ZArith Lia Undecidability.Shared.Libs.DLW.Utils(utils_tac gcd sums bounded_quantification)