Theorem hbn1 2007

Description: Alias for ax-10 2006 to be used instead of it. (Contributed by NM, 24-Jan-1993.) (Proof shortened by Wolf Lammen, 18-Aug-2014.)

Assertion

Ref	Expression
hbn1	⊢ (¬ ∀𝑥𝜑 → ∀𝑥 ¬ ∀𝑥𝜑)

Proof of Theorem hbn1

Step	Hyp	Ref	Expression
1		ax-10 2006	1 ⊢ (¬ ∀𝑥𝜑 → ∀𝑥 ¬ ∀𝑥𝜑)

Syntax hints:  ¬ wn 3   → wi 4  ∀wal 1473

This theorem was proved from axioms:  ax-10 2006

This theorem is referenced by:  hbe1  2008  hbe1a  2009  modal-5  2019  axc4  2115  axc7  2117  axc14  2360  bj-modal5e  31825  ax12indn  33246  axc5c4c711  37624  vk15.4j  37755  ax6e2nd  37795  ax6e2ndVD  38166  ax6e2ndALT  38188