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Theorem spfalw 1672
Description: Version of sp 1747 when is false. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 23-Apr-2017.) (Proof shortened by Wolf Lammen, 25-Dec-2017.)
Hypothesis
Ref Expression
spfalw.1
Assertion
Ref Expression
spfalw

Proof of Theorem spfalw
StepHypRef Expression
1 spfalw.1 . . 3
21hbth 1552 . 2
32spnfw 1670 1
Colors of variables: wff setvar class
Syntax hints:   wn 3   wi 4  wal 1540
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-9 1654
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542
This theorem is referenced by:  19.2OLD  1700  ax9dgen  1716
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