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Commit 2021-07-10 03:32 d0e09dde

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feat(linear_algebra/matrix/nonsingular_inverse): more lemmas (#8216) add more defs and lemmas

Estimated changes

Modified src/linear_algebra/matrix/nonsingular_inverse.lean

modified def matrix.det_invertible_of_left_inverse

modified def matrix.det_invertible_of_right_inverse

added theorem matrix.inv_eq_left_inv

added theorem matrix.inv_eq_nonsing_inv_of_invertible

added theorem matrix.inv_eq_right_inv

added theorem matrix.inv_mul_of_invertible

added def matrix.invertible_of_left_inverse

added def matrix.invertible_of_right_inverse

added theorem matrix.is_unit_det_of_invertible

modified theorem matrix.is_unit_det_of_left_inverse

modified theorem matrix.is_unit_det_of_right_inverse

added theorem matrix.left_inv_eq_left_inv

added theorem matrix.mul_inv_of_invertible

modified theorem matrix.nonsing_inv_left_right

modified theorem matrix.nonsing_inv_right_left

added theorem matrix.right_inv_eq_left_inv

added theorem matrix.right_inv_eq_right_inv

Modified src/linear_algebra/unitary_group.lean