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Definition df-pclN 33851
 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 33898.) (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 33850 . 2
2 vk . . 3
3 cvv 3072 . . 3
4 vx . . . 4
52cv 1369 . . . . . 6
6 catm 33227 . . . . . 6
75, 6cfv 5521 . . . . 5
87cpw 3963 . . . 4
94cv 1369 . . . . . . 7
10 vy . . . . . . . 8
1110cv 1369 . . . . . . 7
129, 11wss 3431 . . . . . 6
13 cpsubsp 33459 . . . . . . 7
145, 13cfv 5521 . . . . . 6
1512, 10, 14crab 2800 . . . . 5
1615cint 4231 . . . 4
174, 8, 16cmpt 4453 . . 3
182, 3, 17cmpt 4453 . 2
191, 18wceq 1370 1
 Colors of variables: wff setvar class This definition is referenced by:  pclfvalN  33852
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