refinedata
    additive_commutativity,axiom
    multiplicative_associativity,axiom
    isotonicity_multiplication1,lemma
    isotonicity_multiplication2,lemma
    star_isotonicity,lemma
    infty_isotonicity,lemma
    reflexivity,lemma
    transitivity,lemma
    short_induction2,lemma
    eq6,lemma
    eq12,lemma

eq6
    additive_commutativity,axiom
    additive_associativity,axiom
    additive_identity,axiom
    additive_idempotence,axiom
    multiplicative_associativity,axiom
    multiplicative_right_identity,axiom
    multiplicative_left_identity,axiom
    distributivity1,axiom
    distributivity2,axiom
    left_annihilation,axiom
    infty_unfold1,axiom
    infty_coinduction,axiom
    reflexivity,lemma
    transitivity,lemma
    infty_unfold2,lemma

infty_unfold2
    left_annihilation,axiom
    multiplicative_associativity,axiom
    isolation,axiom
    distributivity2,axiom
    star_unfold2,axiom
    additive_associativity,axiom
    additive_commutativity,axiom

eq12
    multiplicative_associativity,axiom
    multiplicative_right_identity,axiom
    distributivity1,axiom
    infty_unfold1,axiom
    infty_coinduction,axiom
    isotonicity_addition1,lemma
    isotonicity_addition2,lemma
    isotonicity_multiplication1,lemma
    isotonicity_multiplication2,lemma
    reflexivity,lemma
    transitivity,lemma
    infty_isotonicity,lemma
    infty_unfold2,lemma

thm72i
    additive_commutativity,axiom
    multiplicative_associativity,axiom
    isotonicity_multiplication1,lemma
    isotonicity_multiplication2,lemma
    infty_isotonicity,lemma
    reflexivity,lemma
    transitivity,lemma
    invCR,lemma
    eq3,lemma
    eq6,lemma
    eq10,lemma
    eq12,lemma
    eq16,lemma
    eq18,lemma

thm72ii
    additive_commutativity,axiom
    multiplicative_associativity,axiom
    multiplicative_right_identity,axiom
    multiplicative_left_identity,axiom
    isotonicity_multiplication1,lemma
    isotonicity_multiplication2,lemma
    infty_isotonicity,lemma
    reflexivity,lemma
    transitivity,lemma
    invCR,lemma
    eq3,lemma
    eq6,lemma
    eq10,lemma
    eq12,lemma
    eq16,lemma

