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Theorem a17d 1604
Description: ax-17 1603 with antecedent. Useful in proofs of deduction versions of bound-variable hypothesis builders. (Contributed by NM, 1-Mar-2013.)
Assertion
Ref Expression
a17d  |-  ( ph  ->  ( ps  ->  A. x ps ) )
Distinct variable group:    ps, x
Allowed substitution hint:    ph( x)

Proof of Theorem a17d
StepHypRef Expression
1 ax-17 1603 . 2  |-  ( ps 
->  A. x ps )
21a1i 10 1  |-  ( ph  ->  ( ps  ->  A. x ps ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1527
This theorem is referenced by:  ax12w  1698  dvelimv  1879  ax10lem17ALT  29123  ax9lem17  29156
This theorem was proved from axioms:  ax-1 5  ax-mp 8  ax-17 1603
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