Theorem nfimOLD 2229

Description: Obsolete proof of nfim 1825 as of 6-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof shortened by Wolf Lammen, 2-Jan-2018.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypotheses

Ref	Expression
nfimOLD.1	|- F/ x ph
nfimOLD.2	|- F/ x ps

Assertion

Ref	Expression
nfimOLD	|- F/ x ( ph -> ps )

Proof of Theorem nfimOLD

Step	Hyp	Ref	Expression
1		nfimOLD.1	. 2 |- F/ x ph
2		nfimOLD.2	. . 3 |- F/ x ps
3	2	a1i 11	. 2 |- ( ph -> F/ x ps )
4	1, 3	nfim1OLD 2228	1 |- F/ x ( ph -> ps )

Syntax hints:   -> wi 4   F/wnfOLD 1709

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-10 2019  ax-12 2047

This theorem depends on definitions:  df-bi 197  df-ex 1705  df-nfOLD 1721

This theorem is referenced by:  nforOLD  2244