Floor Function/Examples/Floor of 1.1

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Theorem

$\floor {1 \cdotp 1} = 1$

where $\left\lfloor{x}\right\rfloor$ denotes the floor of $x$.


Proof

We have that:

$1 \le 1 \cdotp 1 < 2$

Hence $1$ is the floor of $1 \cdotp 1$ by definition.

$\blacksquare$


Also see


Sources