Metamath Proof Explorer


Axiom ax-frege41

Description: The affirmation of ph denies the denial of ph . Identical to notnot . Axiom 41 of Frege1879 p. 47. (Contributed by RP, 24-Dec-2019) (New usage is discouraged.)

Ref Expression
Assertion ax-frege41
|- ( ph -> -. -. ph )

Detailed syntax breakdown

Step Hyp Ref Expression
0 wph
 |-  ph
1 0 wn
 |-  -. ph
2 1 wn
 |-  -. -. ph
3 0 2 wi
 |-  ( ph -> -. -. ph )