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Theorem perflp 18900
 Description: The limit points of a perfect space. (Contributed by Mario Carneiro, 24-Dec-2016.)
Hypothesis
Ref Expression
lpfval.1
Assertion
Ref Expression
perflp Perf

Proof of Theorem perflp
StepHypRef Expression
1 lpfval.1 . . 3
21isperf 18897 . 2 Perf
32simprbi 464 1 Perf
 Colors of variables: wff setvar class Syntax hints:   wi 4   wceq 1370   wcel 1758  cuni 4202  cfv 5529  ctop 18640  clp 18880  Perfcperf 18881 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-10 1777  ax-11 1782  ax-12 1794  ax-13 1955  ax-ext 2432 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 967  df-tru 1373  df-ex 1588  df-nf 1591  df-sb 1703  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2604  df-rex 2805  df-rab 2808  df-v 3080  df-dif 3442  df-un 3444  df-in 3446  df-ss 3453  df-nul 3749  df-if 3903  df-sn 3989  df-pr 3991  df-op 3995  df-uni 4203  df-br 4404  df-iota 5492  df-fv 5537  df-perf 18883 This theorem is referenced by: (None)
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