Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical negation
conax1
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conax1k
Metamath Proof Explorer
Ascii
Unicode
Theorem
conax1
Description:
Contrapositive of
ax-1
.
(Contributed by
BJ
, 28-Oct-2023)
Ref
Expression
Assertion
conax1
⊢
¬
φ
→
ψ
→
¬
ψ
Proof
Step
Hyp
Ref
Expression
1
ax-1
⊢
ψ
→
φ
→
ψ
2
1
con3i
⊢
¬
φ
→
ψ
→
¬
ψ