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Theorem frege42 38140
Description: Not not id 22. Proposition 42 of [Frege1879] p. 47. (Contributed by RP, 24-Dec-2019.) (Proof modification is discouraged.)
Assertion
Ref Expression
frege42  |-  -.  -.  ( ph  ->  ph )

Proof of Theorem frege42
StepHypRef Expression
1 frege27 38105 . 2  |-  ( ph  ->  ph )
2 ax-frege41 38139 . 2  |-  ( (
ph  ->  ph )  ->  -.  -.  ( ph  ->  ph )
)
31, 2ax-mp 5 1  |-  -.  -.  ( ph  ->  ph )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-frege1 38084  ax-frege8 38103  ax-frege41 38139
This theorem is referenced by:  frege43  38141
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