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Definition df-spfin 4447
Description: Define the finite Sp set. Definition from [Rosser] p. 533. (Contributed by SF, 12-Jan-2015.)
Assertion
Ref Expression
df-spfin Spfin Ncfin Sfin
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-spfin
StepHypRef Expression
1 cspfin 4439 . 2 Spfin
2 cvv 2859 . . . . . . 7
32cncfin 4434 . . . . . 6 Ncfin
4 va . . . . . . 7
54cv 1641 . . . . . 6
63, 5wcel 1710 . . . . 5 Ncfin
7 vz . . . . . . . . . 10
87cv 1641 . . . . . . . . 9
9 vx . . . . . . . . . 10
109cv 1641 . . . . . . . . 9
118, 10wsfin 4438 . . . . . . . 8 Sfin
127, 4wel 1711 . . . . . . . 8
1311, 12wi 4 . . . . . . 7 Sfin
1413, 7wal 1540 . . . . . 6 Sfin
1514, 9, 5wral 2614 . . . . 5 Sfin
166, 15wa 358 . . . 4 Ncfin Sfin
1716, 4cab 2339 . . 3 Ncfin Sfin
1817cint 3926 . 2 Ncfin Sfin
191, 18wceq 1642 1 Spfin Ncfin Sfin
Colors of variables: wff setvar class
This definition is referenced by:  spfinex  4537  ncvspfin  4538  spfinsfincl  4539  spfininduct  4540
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