Theorem hbn1 1864

Description: Alias for ax-10 1863 to be used instead of it. (Contributed by NM, 24-Jan-1993.) (Proof shortened by Wolf Lammen, 18-Aug-2014.)

Assertion

Ref	Expression
hbn1	|- ( -. A. x ph -> A. x -. A. x ph )

Proof of Theorem hbn1

Step	Hyp	Ref	Expression
1		ax-10 1863	1 |- ( -. A. x ph -> A. x -. A. x ph )

Syntax hints:   -. wn 3   -> wi 4   A.wal 1405

This theorem was proved from axioms:  ax-10 1863

This theorem is referenced by:  hbe1  1865  modal-5  1867  axc4  1886  axc7  1887  axc14  2139  ax12indn  31979  axc5c4c711  36169  vk15.4j  36328  ax6e2nd  36368  ax6e2ndVD  36752  ax6e2ndALT  36774