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Theorem nfia1 1856
Description: Lemma 23 of [Monk2] p. 114. (Contributed by Mario Carneiro, 24-Sep-2016.)
Assertion
Ref Expression
nfia1 x(xφxψ)

Proof of Theorem nfia1
StepHypRef Expression
1 nfa1 1788 . 2 xxφ
2 nfa1 1788 . 2 xxψ
31, 2nfim 1813 1 x(xφxψ)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540  wnf 1544
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-11 1746
This theorem depends on definitions:  df-bi 177  df-ex 1542  df-nf 1545
This theorem is referenced by: (None)
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