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Theorem pnfex 8794
Description: Plus infinity exists (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
pnfex +∞ ∈ V

Proof of Theorem pnfex
StepHypRef Expression
1 pnfxr 8793 . 2 +∞ ∈ ℝ*
21elexi 2584 1 +∞ ∈ V
Colors of variables: wff set class
Syntax hints:  wcel 1409  Vcvv 2574  +∞cpnf 7116  *cxr 7118
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-io 640  ax-5 1352  ax-7 1353  ax-gen 1354  ax-ie1 1398  ax-ie2 1399  ax-8 1411  ax-10 1412  ax-11 1413  ax-i12 1414  ax-bndl 1415  ax-4 1416  ax-13 1420  ax-14 1421  ax-17 1435  ax-i9 1439  ax-ial 1443  ax-i5r 1444  ax-ext 2038  ax-sep 3903  ax-pow 3955  ax-un 4198  ax-cnex 7033
This theorem depends on definitions:  df-bi 114  df-tru 1262  df-nf 1366  df-sb 1662  df-clab 2043  df-cleq 2049  df-clel 2052  df-nfc 2183  df-rex 2329  df-v 2576  df-un 2950  df-in 2952  df-ss 2959  df-pw 3389  df-sn 3409  df-pr 3410  df-uni 3609  df-pnf 7121  df-xr 7123
This theorem is referenced by:  mnfxr  8795  elxr  8797
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