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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical negation
pm2.51
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pm2.52
Metamath Proof Explorer
Ascii
Structured
Theorem
pm2.51
Description:
Theorem *2.51 of
WhiteheadRussell
p. 107.
(Contributed by
NM
, 3-Jan-2005)
Ref
Expression
Assertion
pm2.51
⊢
( ¬ (
𝜑
→
𝜓
) → (
𝜑
→ ¬
𝜓
) )
Proof
Step
Hyp
Ref
Expression
1
conax1k
⊢
( ¬ (
𝜑
→
𝜓
) → (
𝜑
→ ¬
𝜓
) )