Database
REAL AND COMPLEX NUMBERS
Elementary real and complex functions
Real and imaginary parts; conjugate
cjnegi
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Metamath Proof Explorer
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Theorem
cjnegi
Description:
Complex conjugate of negative.
(Contributed by
NM
, 2-Aug-1999)
Ref
Expression
Hypothesis
recl.1
⊢
A
∈
ℂ
Assertion
cjnegi
⊢
−
A
‾
=
−
A
‾
Proof
Step
Hyp
Ref
Expression
1
recl.1
⊢
A
∈
ℂ
2
cjneg
⊢
A
∈
ℂ
→
−
A
‾
=
−
A
‾
3
1
2
ax-mp
⊢
−
A
‾
=
−
A
‾