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Definition df-ceil 12029
 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 ceilval 12067 for its value, ceilge 12073 and ceilm1lt 12075 for its basic properties, and ceilcl 12071 for its closure. For example, ⌈ while ⌈ . 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 12027 . 2
2 vx . . 3
3 cr 9538 . . 3
42cv 1443 . . . . . 6
54cneg 9861 . . . . 5
6 cfl 12026 . . . . 5
75, 6cfv 5582 . . . 4
87cneg 9861 . . 3
92, 3, 8cmpt 4461 . 2
101, 9wceq 1444 1
 Colors of variables: wff setvar class This definition is referenced by:  ceilval  12067  dfceil2  12068
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