Description: The ceiling of a real number is greater than or equal to that number. (Contributed by Glauco Siliprandi, 2-Jan-2022)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | ceilged.1 | |- ( ph -> A e. RR ) |
|
| Assertion | ceilged | |- ( ph -> A <_ ( |^ ` A ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ceilged.1 | |- ( ph -> A e. RR ) |
|
| 2 | ceilge | |- ( A e. RR -> A <_ ( |^ ` A ) ) |
|
| 3 | 1 2 | syl | |- ( ph -> A <_ ( |^ ` A ) ) |