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Theorem nfia1 2048
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 1990 . 2  |-  F/ x A. x ph
2 nfa1 1990 . 2  |-  F/ x A. x ps
31, 2nfim 2014 1  |-  F/ x
( A. x ph  ->  A. x ps )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4   A.wal 1453   F/wnf 1678
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1680  ax-4 1693  ax-5 1769  ax-6 1816  ax-7 1862  ax-10 1926  ax-12 1944
This theorem depends on definitions:  df-bi 190  df-an 377  df-ex 1675  df-nf 1679
This theorem is referenced by:  mo2v  2317  2eu6  2398
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