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Fungrim entry: 98efc1

∣ab∣=∣a∣∣b∣\left|a b\right| = \left|a\right| \left|b\right|
Assumptions:a∈C and⁡ b∈Ca \in \mathbb{C} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
TeX:
\left|a b\right| = \left|a\right| \left|b\right|

a \in \mathbb{C} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("98efc1"),
    Formula(Equal(Abs(Mul(a, b)), Mul(Abs(a), Abs(b)))),
    Variables(a, b),
    Assumptions(And(Element(a, CC), Element(b, CC))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC