Theorem alnof 32401

Description: For all sets, ⊥ is not true. (Contributed by Anthony Hart, 13-Sep-2011.)

Assertion

Ref	Expression
alnof	⊢ ∀𝑥 ¬ ⊥

Proof of Theorem alnof

Step	Hyp	Ref	Expression
1		fal 1490	. 2 ⊢ ¬ ⊥
2	1	ax-gen 1722	1 ⊢ ∀𝑥 ¬ ⊥

Syntax hints:  ¬ wn 3  ∀wal 1481  ⊥wfal 1488

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722

This theorem depends on definitions:  df-bi 197  df-tru 1486  df-fal 1489

This theorem is referenced by:  nalf  32402