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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical negation
pm2.18i
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Metamath Proof Explorer
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Theorem
pm2.18i
Description:
Inference associated with the Clavius law
pm2.18
.
(Contributed by
BJ
, 30-Mar-2020)
Ref
Expression
Hypothesis
pm2.18i.1
⊢
¬
φ
→
φ
Assertion
pm2.18i
⊢
φ
Proof
Step
Hyp
Ref
Expression
1
pm2.18i.1
⊢
¬
φ
→
φ
2
pm2.18
⊢
¬
φ
→
φ
→
φ
3
1
2
ax-mp
⊢
φ