# Law of Syllogism

How to use the law of syllogism to solve logic problems: meaning, example, and its solution.

## Meaning

Law of syllogism:

If *p* → *q* and *q* → *r* are both true,

then *p* → *r* is true.

## Example

*p*: It's raining.*q*: I'll stay home.*r*: I'll call you.

It says *p* → *q* and *q* → *r* are both true.

Then, by the law of syllogism,*p* → *r* is true:

If it's raining, then I'll call you.