LeanAide documentation

LeanAide GPT-4 documentation

`Complex.linearEquiv_det_conjLIE` theorem Complex.linearEquiv_det_conjLIE : LinearEquiv.det Complex.conjLIE.toLinearEquiv = -1 The theorem `Complex.linearEquiv_det_conjLIE` states that the determinant of the complex conjugation function, when considered as a linear equivalence, is equal to -1. The complex conjugation function is an isometric linear equivalence from the set of complex numbers to itself, and the determinant of this function is calculated using the `LinearEquiv.det` method. This result is fundamental in the field of linear algebra. More concisely: The determinant of the complex conjugation linear equivalence is equal to -1.
`Complex.det_conjLIE` theorem Complex.det_conjLIE : LinearMap.det ↑Complex.conjLIE.toLinearEquiv = -1 The theorem `Complex.det_conjLIE` states that the determinant of the linear map equivalence formed by the complex conjugation function from complex numbers to itself is equal to -1. In other words, it asserts that the determinant of the linear map representing the operation of complex conjugation, when viewed as an isometric linear equivalence, is -1. More concisely: The determinant of the linear map representation of complex conjugation is equal to -1.