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Fungrim entry: 03f713

sin ⁣(x+y)sin(x)y\left|\sin\!\left(x + y\right) - \sin(x)\right| \le \left|y\right|
Assumptions:xR  and  yRx \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}
\left|\sin\!\left(x + y\right) - \sin(x)\right| \le \left|y\right|

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Sinsin(z)\sin(z) Sine
RRR\mathbb{R} Real numbers
Source code for this entry:
    Formula(LessEqual(Abs(Sub(Sin(Add(x, y)), Sin(x))), Abs(y))),
    Variables(x, y),
    Assumptions(And(Element(x, RR), Element(y, RR))))

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2021-03-15 19:12:00.328586 UTC