Theorem nfia1 1591

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

Step	Hyp	Ref	Expression
1		nfa1 1552	. 2 |- F/ x A. x ph
2		nfa1 1552	. 2 |- F/ x A. x ps
3	1, 2	nfim 1583	1 |- F/ x ( A. x ph -> A. x ps )

Syntax hints:   -> wi 4   A.wal 1362   F/wnf 1471

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1458  ax-gen 1460  ax-4 1521  ax-ial 1545  ax-i5r 1546

This theorem depends on definitions:  df-bi 117  df-nf 1472

This theorem is referenced by: (None)