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Theorem nfia1 1513
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 1475 . 2  |-  F/ x A. x ph
2 nfa1 1475 . 2  |-  F/ x A. x ps
31, 2nfim 1505 1  |-  F/ x
( A. x ph  ->  A. x ps )
Colors of variables: wff set class
Syntax hints:    -> wi 4   A.wal 1283   F/wnf 1390
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-gen 1379  ax-4 1441  ax-ial 1468  ax-i5r 1469
This theorem depends on definitions:  df-bi 115  df-nf 1391
This theorem is referenced by: (None)
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