Theorem alfal 1840

Description: For all sets, ¬ ⊥ is true. (Contributed by Anthony Hart, 13-Sep-2011.)

Assertion

Ref	Expression
alfal	⊢ ∀𝑥 ¬ ⊥

Proof of Theorem alfal

Step	Hyp	Ref	Expression
1		fal 1583	. 2 ⊢ ¬ ⊥
2	1	ax-gen 1827	1 ⊢ ∀𝑥 ¬ ⊥

This proof depends on syntax axioms:  ¬ wn 3  ∀wal 1567  ⊥wfal 1581

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1827

This proof depends on definitions:  df-bi 210  df-tru 1572  df-fal 1582

This theorem is used by:  nalfal  37318  quantgodelALT  48024