Theorem notnot

Double negation introduction. Converse of notnotr and one implication of notnotb. Theorem *2.12 of [WhiteheadRussell] p. 101. This was the sixth axiom of Frege, specifically Proposition 41 of [Frege1879] p. 47. (Contributed by NM, 28-Dec-1992.) (Proof shortened by Wolf Lammen, 2-Mar-2013.)

Conclusion
\( \vdash \varphi \rightarrow \neg \neg \varphi \)
Proof
id
con2i _