Theorem bj-dcfal 15401

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

Assertion

Ref	Expression
bj-dcfal	⊢ DECID ⊥

Proof of Theorem bj-dcfal

Step	Hyp	Ref	Expression
1		fal 1371	. 2 ⊢ ¬ ⊥
2		bj-fadc 15400	. 2 ⊢ (¬ ⊥ → DECID ⊥)
3	1, 2	ax-mp 5	1 ⊢ DECID ⊥

Syntax hints:  ¬ wn 3  DECID wdc 835  ⊥wfal 1369

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 615  ax-in2 616  ax-io 710

This theorem depends on definitions:  df-bi 117  df-dc 836  df-tru 1367  df-fal 1370

This theorem is referenced by: (None)