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Definition df-fzo 9971
 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 9842, which includes . Not including the endpoint simplifies a number of formulas related to cardinality and splitting; contrast fzosplit 10005 with fzsplit 9882, 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 9970 . 2 ..^
2 vm . . 3
3 vn . . 3
4 cz 9098 . . 3
52cv 1331 . . . 4
63cv 1331 . . . . 5
7 c1 7665 . . . . 5
8 cmin 7977 . . . . 5
96, 7, 8co 5783 . . . 4
10 cfz 9841 . . . 4
115, 9, 10co 5783 . . 3
122, 3, 4, 4, 11cmpo 5785 . 2
131, 12wceq 1332 1 ..^
 Colors of variables: wff set class This definition is referenced by:  fzof  9972  elfzoel1  9973  elfzoel2  9974  fzoval  9976
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