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Fungrim entry: 9086c6

Symbol: Im Im(z)\operatorname{Im}(z) Imaginary part
Domain Codomain
zRz \in \mathbb{R} Im(z){0}\operatorname{Im}(z) \in \left\{0\right\}
zCz \in \mathbb{C} Im(z)R\operatorname{Im}(z) \in \mathbb{R}
Table data: (P,Q)\left(P, Q\right) such that (P)        (Q)\left(P\right) \;\implies\; \left(Q\right)
Fungrim symbol Notation Short description
ImIm(z)\operatorname{Im}(z) Imaginary part
RRR\mathbb{R} Real numbers
CCC\mathbb{C} Complex numbers
Source code for this entry:
    SymbolDefinition(Im, Im(z), "Imaginary part"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(Element(z, RR), Element(Im(z), Set(0))), Tuple(Element(z, CC), Element(Im(z), RR)))))

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

2021-03-15 19:12:00.328586 UTC