Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Mixed connectives
pm3.13
Next ⟩
pm3.14
Metamath Proof Explorer
Ascii
Unicode
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