Binding Priority/Examples

Examples of Binding Priority

Conjunction over Conditional

The convention for binding priority states that:

$\paren {x < y \land y < z} \implies x < z$

can be written as:

$x < y \land y < z \implies x < z$

as $\land$ has a higher binding priority than $\implies$.

Disjunction over Biconditional

The convention for binding priority states that:

$x + y \ne 0 \iff \paren {x \ne 0 \lor y \ne 0}$

can be written as:

$x + y \ne 0 \iff x \ne 0 \lor y \ne 0$

as $\lor$ has a higher binding priority than $\iff$.