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Theorem nfia1 1745
Description: Lemma 23 of [Monk2] p. 114. (Contributed by Mario Carneiro, 24-Sep-2016.)
Assertion
Ref Expression
nfia1  |-  F/ x
( A. x ph  ->  A. x ps )

Proof of Theorem nfia1
StepHypRef Expression
1 nfa1 1719 . 2  |-  F/ x A. x ph
2 nfa1 1719 . 2  |-  F/ x A. x ps
31, 2nfim 1735 1  |-  F/ x
( A. x ph  ->  A. x ps )
Colors of variables: wff set class
Syntax hints:    -> wi 6   A.wal 1532   F/wnf 1539
This theorem was proved from axioms:  ax-1 7  ax-2 8  ax-3 9  ax-mp 10  ax-5 1533  ax-6 1534  ax-gen 1536  ax-4 1692
This theorem depends on definitions:  df-bi 179  df-an 362  df-tru 1315  df-nf 1540
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