proposition: Lemma plus_assoc m l k: ((m ⊕ l) ⊕ k) = (m ⊕ (l ⊕ k)).
proof: Proof. apply: ord_inj. case: m => m ? /=. rewrite !Nnat.N2Nat.id. by rewrite BinNat.N.lxor_assoc. Qed.
imports: Relational(OrderEnrichedCategory GenericRulesSimple) mathcomp(all_ssreflect all_algebra reals distr realsum ssrnat ssreflect ssrfun ssrbool ssrnum eqtype choice seq) Mon(SPropBase) Crypt(Axioms ChoiceAsOrd SubDistr Couplings UniformDistrLemmas FreeProbProg Theta_dens RulesStateProb pkg_core_definition choice_type pkg_composition pkg_rhl Package Prelude) extructures(ord fset fmap) Equations(Equations)