Theorem bj-dcfal 13636

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 1350	. 2 ⊢ ¬ ⊥
2		bj-fadc 13635	. 2 ⊢ (¬ ⊥ → DECID ⊥)
3	1, 2	ax-mp 5	1 ⊢ DECID ⊥

Syntax hints:  ¬ wn 3  DECID wdc 824  ⊥wfal 1348

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 604  ax-in2 605  ax-io 699

This theorem depends on definitions:  df-bi 116  df-dc 825  df-tru 1346  df-fal 1349

This theorem is referenced by: (None)