Name of theorem about replaceability of $i$ with $-i$

Asked May 31 '21 at 20:38

Active May 31 '21 at 20:38

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I recall, many years ago, reading that an true equation remains true if at all instances within the equation, one changes $i$ to $-i$ and $-i$ to $i$, however I cannot remember what this is called, or if it even has a name.

If anyone is aware, I would appreciate - a fair bit of googling has not given any answers yet.

asked May 31 '21 at 20:38

FizzKicks

Complex Conjugation – Mark Viola May 31 '21 at 20:39
5

You may be thinking of the Complex Conjugate Root Theorem. – JMoravitz May 31 '21 at 20:40
1

$\mathbb R(i)$ is isomorphic to $\mathbb R(-i)$; the operation of complex conjugation is a field automorphism of $\mathbb C$ – J. W. Tanner May 31 '21 at 20:43

Name of theorem about replaceability of $i$ with $-i$

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