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Definition df-antidir 25358
 Description: An antidirected set (also called a set filtering on the left by Bourbaki) is a preset whose every pair of elements has a lower bound. (Contributed by FL, 17-Oct-2011.)
Assertion
Ref Expression
df-antidir PresetRel
Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-antidir
StepHypRef Expression
1 cantidir 25325 . 2
2 cpresetrel 25318 . . 3 PresetRel
3 vz . . . . . . . . 9
43cv 1631 . . . . . . . 8
5 vr . . . . . . . . . 10
65cv 1631 . . . . . . . . 9
7 vx . . . . . . . . . . 11
87cv 1631 . . . . . . . . . 10
9 vy . . . . . . . . . . 11
109cv 1631 . . . . . . . . . 10
118, 10cpr 3654 . . . . . . . . 9
12 clb 25322 . . . . . . . . 9
136, 11, 12co 5874 . . . . . . . 8
144, 13wcel 1696 . . . . . . 7
156cuni 3843 . . . . . . . 8
1615cuni 3843 . . . . . . 7
1714, 3, 16wrex 2557 . . . . . 6
1817, 9, 16wral 2556 . . . . 5
1918, 7, 16wral 2556 . . . 4
2019, 5cab 2282 . . 3
212, 20cin 3164 . 2 PresetRel
221, 21wceq 1632 1 PresetRel
 Colors of variables: wff set class
 Copyright terms: Public domain W3C validator