Theorem bj-stfal 13777

Description: The false truth value is stable. (Contributed by BJ, 5-Aug-2024.)

Assertion

Ref	Expression
bj-stfal	⊢ STAB ⊥

Proof of Theorem bj-stfal

Step	Hyp	Ref	Expression
1		fal 1355	. 2 ⊢ ¬ ⊥
2		bj-fast 13776	. 2 ⊢ (¬ ⊥ → STAB ⊥)
3	1, 2	ax-mp 5	1 ⊢ STAB ⊥

Syntax hints:  ¬ wn 3  STAB wstab 825  ⊥wfal 1353

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-in1 609  ax-in2 610

This theorem depends on definitions:  df-bi 116  df-stab 826  df-tru 1351  df-fal 1354

This theorem is referenced by: (None)