Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical negation
pm2.24d
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con3d
Metamath Proof Explorer
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Theorem
pm2.24d
Description:
Deduction form of
pm2.24
.
(Contributed by
NM
, 30-Jan-2006)
Ref
Expression
Hypothesis
pm2.24d.1
⊢
φ
→
ψ
Assertion
pm2.24d
⊢
φ
→
¬
ψ
→
χ
Proof
Step
Hyp
Ref
Expression
1
pm2.24d.1
⊢
φ
→
ψ
2
1
a1d
⊢
φ
→
¬
χ
→
ψ
3
2
con1d
⊢
φ
→
¬
ψ
→
χ