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Commit 2022-05-06 10:07 d9893051

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feat(algebra/order/monoid_lemmas_zero_lt): add some lemmas assuming mul_zero_class partial_order / linear_order (#13377)

Estimated changes

Modified src/algebra/order/monoid_lemmas_zero_lt.lean

added theorem zero_lt.left.mul_nonneg

added theorem zero_lt.left.neg_of_mul_neg_left

added theorem zero_lt.left.neg_of_mul_neg_right

added theorem zero_lt.mul_le_mul_left''

added theorem zero_lt.mul_le_mul_right''

added theorem zero_lt.mul_nonpos_of_nonneg_of_nonpos

added theorem zero_lt.mul_nonpos_of_nonpos_of_nonneg

added theorem zero_lt.neg_iff_neg_of_mul_pos

added theorem zero_lt.neg_of_mul_pos_left

added theorem zero_lt.neg_of_mul_pos_right

added theorem zero_lt.pos_and_pos_or_neg_and_neg_of_mul_pos

added theorem zero_lt.pos_iff_pos_of_mul_pos

added theorem zero_lt.pos_of_mul_pos_left

added theorem zero_lt.pos_of_mul_pos_right

added theorem zero_lt.right.mul_nonneg

added theorem zero_lt.right.neg_of_mul_neg_left

added theorem zero_lt.right.neg_of_mul_neg_right