Theorem nfia1 1573

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 1534	. 2 |- F/ x A. x ph
2		nfa1 1534	. 2 |- F/ x A. x ps
3	1, 2	nfim 1565	1 |- F/ x ( A. x ph -> A. x ps )

Syntax hints:   -> wi 4   A.wal 1346   F/wnf 1453

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1440  ax-gen 1442  ax-4 1503  ax-ial 1527  ax-i5r 1528

This theorem depends on definitions:  df-bi 116  df-nf 1454

This theorem is referenced by: (None)