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Definition df-at 25421
Description: Define the set of atoms in a Hilbert lattice. An atom is a nonzero element of a lattice such that anything less than it is zero, i.e. it is the smallest nonzero element of the lattice. Definition of atom in [Kalmbach] p. 15. See ela 25422 and elat2 25423 for membership relations. (Contributed by NM, 14-Aug-2002.) (New usage is discouraged.)
Assertion
Ref Expression
df-at

Detailed syntax breakdown of Definition df-at
StepHypRef Expression
1 cat 24046 . 2
2 c0h 24016 . . . 4
3 vx . . . . 5
43cv 1686 . . . 4
5 ccv 24045 . . . 4
62, 4, 5wbr 4267 . . 3
7 cch 24010 . . 3
86, 3, 7crab 2698 . 2
91, 8wceq 1687 1
Colors of variables: wff setvar class
This definition is referenced by:  ela  25422  atssch  25426
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