Theorem bj-notbid 12122

Description: Deduction form of bj-notbi 12120. (Contributed by BJ, 27-Jan-2020.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
bj-notbid.1	|- ( ph -> ( ps <-> ch ) )

Assertion

Ref	Expression
bj-notbid	|- ( ph -> ( -. ps <-> -. ch ) )

Proof of Theorem bj-notbid

Step	Hyp	Ref	Expression
1		bj-notbid.1	. 2 |- ( ph -> ( ps <-> ch ) )
2		bj-notbi 12120	. 2 |- ( ( ps <-> ch ) -> ( -. ps <-> -. ch ) )
3	1, 2	syl 14	1 |- ( ph -> ( -. ps <-> -. ch ) )

Syntax hints:   -. wn 3   -> wi 4   <-> wb 104

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 580  ax-in2 581

This theorem depends on definitions:  df-bi 116

This theorem is referenced by: (None)