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Theorem nfia1 1959
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 1902 . 2  |-  F/ x A. x ph
2 nfa1 1902 . 2  |-  F/ x A. x ps
31, 2nfim 1925 1  |-  F/ x
( A. x ph  ->  A. x ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4   A.wal 1396   F/wnf 1621
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1623  ax-4 1636  ax-5 1709  ax-6 1752  ax-7 1795  ax-10 1842  ax-12 1859
This theorem depends on definitions:  df-bi 185  df-ex 1618  df-nf 1622
This theorem is referenced by:  mo2v  2291  mo2vOLD  2292  mo2vOLDOLD  2293  2eu6  2380
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