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 ) ) |