Metamath Proof Explorer


Theorem pm3.13

Description: Theorem *3.13 of WhiteheadRussell p. 111. (Contributed by NM, 3-Jan-2005)

Ref Expression
Assertion pm3.13 ⊢ ¬ φ ∧ ψ → ¬ φ ∨ ¬ ψ

Proof

Step Hyp Ref Expression
1 pm3.11 ⊢ ¬ ¬ φ ∨ ¬ ψ → φ ∧ ψ
2 1 con1i ⊢ ¬ φ ∧ ψ → ¬ φ ∨ ¬ ψ