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Definition df-fzo 11825
Description: Define a function generating sets of integers using a half-open range. Read as the integers from up to, but not including, ; contrast with df-fz 11702, which includes . Not including the endpoint simplifies a number of formulae related to cardinality and splitting; contrast fzosplit 11858 with fzsplit 11740, for instance. (Contributed by Stefan O'Rear, 14-Aug-2015.)
Assertion
Ref Expression
df-fzo
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-fzo
StepHypRef Expression
1 cfzo 11824 . 2
2 vm . . 3
3 vn . . 3
4 cz 10889 . . 3
52cv 1394 . . . 4
63cv 1394 . . . . 5
7 c1 9514 . . . . 5
8 cmin 9828 . . . . 5
96, 7, 8co 6296 . . . 4
10 cfz 11701 . . . 4
115, 9, 10co 6296 . . 3
122, 3, 4, 4, 11cmpt2 6298 . 2
131, 12wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  fzof  11826  fzoval  11830
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