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REAL AND COMPLEX NUMBERS
Elementary real and complex functions
Square root; absolute value
absnegi
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Theorem
absnegi
Description:
Absolute value of negative.
(Contributed by
NM
, 2-Aug-1999)
Ref
Expression
Hypothesis
absvalsqi.1
⊢
A
∈
ℂ
Assertion
absnegi
⊢
−
A
=
A
Proof
Step
Hyp
Ref
Expression
1
absvalsqi.1
⊢
A
∈
ℂ
2
absneg
⊢
A
∈
ℂ
→
−
A
=
A
3
1
2
ax-mp
⊢
−
A
=
A