A calculus of the absurd
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14.1.4 Properties of the complex conjugate and absolute value
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• \((zw)^{*} = z^{*} w^{*}\)
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• \(\rbrackets {\frac {z}{w}}^{*}\)
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• \(\rbrackets {z^{*}}^{*}\)
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• \(\abs {z} = \abs {z^{*}}\)
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• \(\abs {zw} = \abs {z} \abs {w}\)
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• \(\abs {\frac {z}{w}} = \frac {\abs {z}}{\abs {w}}\)
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• \(\abs {z + w} \leqq \abs {z} + \abs {w}\)