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con1bii2
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con2bii2
Metamath Proof Explorer
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Theorem
con1bii2
Description:
A contraposition inference.
(Contributed by
ML
, 18-Oct-2020)
Ref
Expression
Hypothesis
con1bii2.1
⊢
¬
φ
↔
ψ
Assertion
con1bii2
⊢
φ
↔
¬
ψ
Proof
Step
Hyp
Ref
Expression
1
con1bii2.1
⊢
¬
φ
↔
ψ
2
1
con1bii
⊢
¬
ψ
↔
φ
3
2
bicomi
⊢
φ
↔
¬
ψ