Statement Form/Examples/Arbitrary Example 8
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Example of Statement Form
- If $y$ is an integer then $z$ is not real, provided that $x$ is a rational number
has the statement form
- $A \implies \paren {B \implies \neg C}$
where:
- $A$ stands for $x$ is a rational number
- $B$ stands for $y$ is an integer.
- $C$ stands for $z$ is real.
Sources
- 1988: Alan G. Hamilton: Logic for Mathematicians (2nd ed.) ... (previous) ... (next): $\S 1$: Informal statement calculus: $\S 1.1$: Statements and connectives: Exercises $1 \ \text {(h)}$