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Fungrim entry: 8e6867

Re⁡ ⁣(x+yi)=x\operatorname{Re}\!\left(x + y i\right) = x
Assumptions:x∈R and⁡ y∈Rx \in \mathbb{R} \,\mathbin{\operatorname{and}}\, y \in \mathbb{R}
TeX:
\operatorname{Re}\!\left(x + y i\right) = x

x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, y \in \mathbb{R}
Definitions:
Fungrim symbol Notation Short description
ReRe⁡ ⁣(z)\operatorname{Re}\!\left(z\right) Real part
ConstIii Imaginary unit
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("8e6867"),
    Formula(Equal(Re(Add(x, Mul(y, ConstI))), x)),
    Variables(x, y),
    Assumptions(And(Element(x, RR), Element(y, RR))))

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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