How to use the fantasy-land/laws/semigroup.associativity function in fantasy-land

const m = require('fantasy-land/laws/monoid');
const s = require('fantasy-land/laws/semigroup');
const sʹ = require('fantasy-land/laws/setoid');

const {Multiplicative} = require('../fantasy-monoids');

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Multiplicative),
    'leftIdentity': λ.law(m.leftIdentity)(Multiplicative)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Multiplicative)
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Multiplicative),
    'symmetry': λ.law(sʹ.symmetry)(Multiplicative),
    'transitivity': λ.law(sʹ.transitivity)(Multiplicative)
};

const Ordʹ = Ord({ min: () => Ordʹ(Number.MIN_NUMBER)
                 , max: () => Ordʹ(Number.MAX_NUMBER)
                 , compare: (x, y) => x === y ? Ord.EQ : x < y ? Ord.LT : Ord.GT
                 });
const Maxʹ = Max(Ordʹ);

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Maxʹ),
    'leftIdentity': λ.law(m.leftIdentity)(Maxʹ)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Maxʹ[of])
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Maxʹ[of]),
    'symmetry': λ.law(sʹ.symmetry)(Maxʹ[of]),
    'transitivity': λ.law(sʹ.transitivity)(Maxʹ[of])
};

exports.basicUsage = test => {
    const expected = { x: { x: 9 } };

    test.deepEqual(
        Maxʹ(Ordʹ(3))
          [concat](Maxʹ(Ordʹ(6)))

const Ordʹ = Ord({ min: () => Ordʹ(Number.MIN_NUMBER)
                 , max: () => Ordʹ(Number.MAX_NUMBER)
                 , compare: (x, y) => x === y ? Ord.EQ : x < y ? Ord.LT : Ord.GT
                 });
const Minʹ = Min(Ordʹ);

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Minʹ),
    'leftIdentity': λ.law(m.leftIdentity)(Minʹ)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Minʹ[of])
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Minʹ[of]),
    'symmetry': λ.law(sʹ.symmetry)(Minʹ[of]),
    'transitivity': λ.law(sʹ.transitivity)(Minʹ[of])
};

exports.basicUsage = test => {
    const expected = { x: { x: 1 } };

    test.deepEqual(
        Minʹ(Ordʹ(3))
          [concat](Minʹ(Ordʹ(6)))

const m = require('fantasy-land/laws/monoid');
const s = require('fantasy-land/laws/semigroup');
const sʹ = require('fantasy-land/laws/setoid');

const {Conjunction} = require('../fantasy-monoids');

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Conjunction),
    'leftIdentity': λ.law(m.leftIdentity)(Conjunction)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Conjunction)
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Conjunction),
    'symmetry': λ.law(sʹ.symmetry)(Conjunction),
    'transitivity': λ.law(sʹ.transitivity)(Conjunction)
};

const sʹ = require('fantasy-land/laws/setoid');

const {Additive, Dual} = require('../fantasy-monoids');

const Dualʹ = Dual(Additive);

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Dualʹ),
    'leftIdentity': λ.law(m.leftIdentity)(Dualʹ)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Dualʹ[of])
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Dualʹ[of]),
    'symmetry': λ.law(sʹ.symmetry)(Dualʹ[of]),
    'transitivity': λ.law(sʹ.transitivity)(Dualʹ[of])
};

const m = require('fantasy-land/laws/monoid');
const s = require('fantasy-land/laws/semigroup');
const sʹ = require('fantasy-land/laws/setoid');

const {Disjunction} = require('../fantasy-monoids');

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Disjunction),
    'leftIdentity': λ.law(m.leftIdentity)(Disjunction)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Disjunction)
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Disjunction),
    'symmetry': λ.law(sʹ.symmetry)(Disjunction),
    'transitivity': λ.law(sʹ.transitivity)(Disjunction)
};

const m = require('fantasy-land/laws/monoid');
const s = require('fantasy-land/laws/semigroup');
const sʹ = require('fantasy-land/laws/setoid');

const {Additive} = require('../fantasy-monoids');

exports.monoid = {

    'rightIdentity': λ.law(m.rightIdentity)(Additive),
    'leftIdentity': λ.law(m.leftIdentity)(Additive)
};


exports.semigroup = {

    'associativity': λ.law(s.associativity)(Additive)
};


exports.setoid = {

    'reflexivity': λ.law(sʹ.reflexivity)(Additive),
    'symmetry': λ.law(sʹ.symmetry)(Additive),
    'transitivity': λ.law(sʹ.transitivity)(Additive)
};