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Theorem axc4i-o 32433
Description: Inference version of ax-c4 32419. (Contributed by NM, 3-Jan-1993.) (New usage is discouraged.)
Hypothesis
Ref Expression
axc4i-o.1  |-  ( A. x ph  ->  ps )
Assertion
Ref Expression
axc4i-o  |-  ( A. x ph  ->  A. x ps )

Proof of Theorem axc4i-o
StepHypRef Expression
1 hba1-o 32432 . 2  |-  ( A. x ph  ->  A. x A. x ph )
2 axc4i-o.1 . 2  |-  ( A. x ph  ->  ps )
31, 2alrimih 1690 1  |-  ( A. x ph  ->  A. x ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4   A.wal 1436
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1666  ax-4 1679  ax-c5 32418  ax-c4 32419  ax-c7 32420
This theorem is referenced by:  hbae-o  32436  aev-o  32465  axc11n-16  32472  ax12indalem  32479  ax12inda2ALT  32480
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