proposition: Lemma Advantage_triangle : ∀ P Q R A, AdvantageE P Q A <= AdvantageE P R A + AdvantageE R Q A.
proof: Proof. intros P Q R A. unfold AdvantageE. apply ler_dist_add. Qed.
imports: Coq(Utf8) Relational(OrderEnrichedCategory OrderEnrichedRelativeMonadExamples) mathcomp(ssrnat ssreflect ssrfun ssrbool ssrnum eqtype choice reals distr seq all_algebra fintype realsum) extructures(ord fset fmap) Mon(SPropBase) Crypt(Prelude Axioms ChoiceAsOrd SubDistr Couplings RulesStateProb UniformStateProb UniformDistrLemmas StateTransfThetaDens StateTransformingLaxMorph choice_type pkg_core_definition pkg_notation pkg_tactics pkg_composition pkg_heap pkg_semantics pkg_lookup) Equations.Prop.DepElim Equations(Equations) Crypt(FreeProbProg)