Theorem bj-fast 15397

Description: A refutable formula is stable. (Contributed by BJ, 24-Nov-2023.)

Assertion

Ref	Expression
bj-fast	|- ( -. ph -> STAB ph )

Proof of Theorem bj-fast

Step	Hyp	Ref	Expression
1		pm2.24 622	. 2 |- ( -. ph -> ( -. -. ph -> ph ) )
2		df-stab 832	. 2 |- (STAB ph <-> ( -. -. ph -> ph ) )
3	1, 2	sylibr 134	1 |- ( -. ph -> STAB ph )

Syntax hints:   -. wn 3   -> wi 4  STAB wstab 831

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-in2 616

This theorem depends on definitions:  df-bi 117  df-stab 832

This theorem is referenced by:  bj-stfal  15398  bj-nnst  15399  bj-dcstab  15412