File: V2.v

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coq-hierarchy-builder 1.8.1-1
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Require Import ZArith ssreflect ssrfun.
From HB Require Import structures.

HB.mixin Record is_semigroup (S : Type) := {
  add   : S -> S -> S;
  addrA : associative add;
}.
HB.structure Definition SemiGroup :=
  { S & is_semigroup S }.

HB.mixin Record monoid_of_semigroup (M : Type)
  & is_semigroup M := {
  zero  : M;
  add0r : left_id  zero add;
  addr0 : right_id zero add;
}.
HB.structure Definition Monoid :=
  { M & monoid_of_semigroup M }.

(* is_monoid does not exist anymore *)
Fail Check is_monoid.

HB.mixin Record xxxx P A := { F : bool }.