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Definition df-ceil 9115
 Description: The ceiling (least integer greater than or equal to) function. Defined in ISO 80000-2:2009(E) operation 2-9.18 and the "NIST Digital Library of Mathematical Functions" , front introduction, "Common Notations and Definitions" section at http://dlmf.nist.gov/front/introduction#Sx4. See ceilqval 9148 for its value, ceilqge 9152 and ceilqm1lt 9154 for its basic properties, and ceilqcl 9150 for its closure. For example, ⌈ while ⌈ (ex-ceil 9896). As described in df-fl 9114 most theorems are only for rationals, not reals. The symbol ⌈ is inspired by the gamma shaped left bracket of the usual notation. (Contributed by David A. Wheeler, 19-May-2015.)
Assertion
Ref Expression
df-ceil

Detailed syntax breakdown of Definition df-ceil
StepHypRef Expression
1 cceil 9113 . 2
2 vx . . 3
3 cr 6888 . . 3
42cv 1242 . . . . . 6
54cneg 7183 . . . . 5
6 cfl 9112 . . . . 5
75, 6cfv 4902 . . . 4
87cneg 7183 . . 3
92, 3, 8cmpt 3818 . 2
101, 9wceq 1243 1
 Colors of variables: wff set class This definition is referenced by:  ceilqval  9148
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