Theorem bj-stfal 14354

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 1360	. 2 ⊢ ¬ ⊥
2		bj-fast 14353	. 2 ⊢ (¬ ⊥ → STAB ⊥)
3	1, 2	ax-mp 5	1 ⊢ STAB ⊥

Syntax hints:  ¬ wn 3  STAB wstab 830  ⊥wfal 1358

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-in1 614  ax-in2 615

This theorem depends on definitions:  df-bi 117  df-stab 831  df-tru 1356  df-fal 1359

This theorem is referenced by: (None)