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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 of is_semigroup S }.
HB.mixin Record semigroup_is_monoid M of is_semigroup M := {
zero : M;
add0r : forall x, add zero x = x;
addr0 : forall x, add x zero = x;
}.
HB.structure Definition Monoid :=
{ M of is_semigroup M & semigroup_is_monoid M }.
(* is_monoid does not exist anymore *)
Fail Check is_monoid.
HB.instance Definition Z_is_monoid : is_monoid Z :=
is_monoid.Build Z 0%Z Z.add Z.add_assoc Z.add_0_l Z.add_0_r.
HB.mixin Record xxxx P A := { F : bool }.
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