Description: A real number is less than or equal to its absolute value. (Contributed by Mario Carneiro, 29-May-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | resqrcld.1 | |- ( ph -> A e. RR ) |
|
| Assertion | leabsd | |- ( ph -> A <_ ( abs ` A ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | resqrcld.1 | |- ( ph -> A e. RR ) |
|
| 2 | leabs | |- ( A e. RR -> A <_ ( abs ` A ) ) |
|
| 3 | 1 2 | syl | |- ( ph -> A <_ ( abs ` A ) ) |