Theorem fald 36287

Description: Refutation of falsity, in deduction form. (Contributed by Giovanni Mascellani, 24-Mar-2018.)

Assertion

Ref	Expression
fald	⊢ (𝜃 → ¬ ⊥)

Proof of Theorem fald

Step	Hyp	Ref	Expression
1		fal 1553	. 2 ⊢ ¬ ⊥
2	1	a1i 11	1 ⊢ (𝜃 → ¬ ⊥)

Syntax hints:  ¬ wn 3   → wi 4  ⊥wfal 1551

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-tru 1542  df-fal 1552

This theorem is referenced by: (None)