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Theorem hbn1 2020
Description: Alias for ax-10 2019 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
StepHypRef Expression
1 ax-10 2019 1  |-  ( -. 
A. x ph  ->  A. x  -.  A. x ph )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4   A.wal 1481
This theorem was proved from axioms:  ax-10 2019
This theorem is referenced by:  hbe1  2021  hbe1a  2022  modal-5  2032  axc4  2130  axc7  2132  axc14  2372  bj-modal5e  32636  ax12indn  34228  axc5c4c711  38602  vk15.4j  38734  ax6e2nd  38774  ax6e2ndVD  39144  ax6e2ndALT  39166
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