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Theorem bj-a1k 32535
Description: Weakening of ax-1 6. This shortens the proofs of dfwe2 6981 (937>925), ordunisuc2 7044 (789>777), r111 8638 (558>545), smo11 7461 (1176>1164). (Contributed by BJ, 11-Aug-2020.)
Assertion
Ref Expression
bj-a1k  |-  ( ph  ->  ( ps  ->  ( ch  ->  ps ) ) )

Proof of Theorem bj-a1k
StepHypRef Expression
1 ax-1 6 . 2  |-  ( ps 
->  ( ch  ->  ps ) )
21a1i 11 1  |-  ( ph  ->  ( ps  ->  ( ch  ->  ps ) ) )
Colors of variables: wff setvar class
Syntax hints:    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6
This theorem is referenced by: (None)
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