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Theorem axc4i-o 31922
Description: Inference version of ax-c4 31908. (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 31921 . 2  |-  ( A. x ph  ->  A. x A. x ph )
2 axc4i-o.1 . 2  |-  ( A. x ph  ->  ps )
31, 2alrimih 1663 1  |-  ( A. x ph  ->  A. x ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4   A.wal 1403
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-c5 31907  ax-c4 31908  ax-c7 31909
This theorem is referenced by:  hbae-o  31925  aev-o  31954  axc11n-16  31961  ax12indalem  31968  ax12inda2ALT  31969
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