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Theorem nfia1 1778
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 1756 . 2  |-  F/ x A. x ph
2 nfa1 1756 . 2  |-  F/ x A. x ps
31, 2nfim 1769 1  |-  F/ x
( A. x ph  ->  A. x ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1527   F/wnf 1531
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1533  ax-5 1544  ax-17 1603  ax-9 1635  ax-8 1643  ax-6 1703  ax-11 1715
This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1310  df-nf 1532
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