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Theorem nfia1 1472
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 1434 . 2  |-  F/ x A. x ph
2 nfa1 1434 . 2  |-  F/ x A. x ps
31, 2nfim 1464 1  |-  F/ x
( A. x ph  ->  A. x ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1241   F/wnf 1349
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-gen 1338  ax-4 1400  ax-ial 1427  ax-i5r 1428
This theorem depends on definitions:  df-bi 110  df-nf 1350
This theorem is referenced by: (None)
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