proveit.logic.booleans.forall_over_bool_by_cases proveit.logic.booleans.implication.false_implies_false proveit.logic.booleans.implication.false_implies_true proveit.logic.booleans.implication.true_implies_false_negated proveit.logic.booleans.implication.true_implies_true proveit.logic.booleans.in_bool_if_true proveit.logic.booleans.quantification.universality.bundle proveit.numbers.numerals.decimals.posnat1