Metamath Proof Explorer


Theorem pm2.13

Description: Theorem *2.13 of WhiteheadRussell p. 101. (Contributed by NM, 3-Jan-2005)

Ref Expression
Assertion pm2.13 ⊢ φ ∨ ¬ ¬ ¬ φ

Proof

Step Hyp Ref Expression
1 notnot ⊢ ¬ φ → ¬ ¬ ¬ φ
2 1 orri ⊢ φ ∨ ¬ ¬ ¬ φ