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Definition df-pclN 30622
 Description: Projective subspace closure, which is the smallest projective subspace containing an arbitrary set of atoms. The subspace closure of the union of a set of projective subspaces is their supremum in . Related to an analogous definition of closure used in Lemma 3.1.4 of [PtakPulmannova] p. 68. (Note that this closure is not necessarily one of the closed projective subspaces of df-psubclN 30669.) (Contributed by NM, 7-Sep-2013.)
Assertion
Ref Expression
df-pclN
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-pclN
StepHypRef Expression
1 cpclN 30621 . 2
2 vk . . 3
3 cvv 2948 . . 3
4 vx . . . 4
52cv 1651 . . . . . 6
6 catm 29998 . . . . . 6
75, 6cfv 5446 . . . . 5
87cpw 3791 . . . 4
94cv 1651 . . . . . . 7
10 vy . . . . . . . 8
1110cv 1651 . . . . . . 7
129, 11wss 3312 . . . . . 6
13 cpsubsp 30230 . . . . . . 7
145, 13cfv 5446 . . . . . 6
1512, 10, 14crab 2701 . . . . 5
1615cint 4042 . . . 4
174, 8, 16cmpt 4258 . . 3
182, 3, 17cmpt 4258 . 2
191, 18wceq 1652 1
 Colors of variables: wff set class This definition is referenced by:  pclfvalN  30623
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