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Theorem ax4567to4 27570
Description: Re-derivation of sp 1763 from ax4567 27569. Note that ax9 1953 is used for the re-derivation. (Contributed by Andrew Salmon, 14-Jul-2011.) (Proof modification is discouraged.)
Assertion
Ref Expression
ax4567to4

Proof of Theorem ax4567to4
StepHypRef Expression
1 ax9 1953 . . 3
2 pm2.21 102 . . . 4
3 ax-1 5 . . . 4
4 ax4567 27569 . . . 4
52, 3, 43syl 19 . . 3
61, 5mtoi 171 . 2
76con4i 124 1
Colors of variables: wff set class
Syntax hints:  -.wn 3  ->wi 4  A.wal 1549  =wceq 1652
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950
This theorem depends on definitions:  df-bi 178  df-an 361  df-ex 1551
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