Database
REAL AND COMPLEX NUMBERS
Real and complex numbers - basic operations
Subtraction
negcli
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negidi
Metamath Proof Explorer
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Theorem
negcli
Description:
Closure law for negative.
(Contributed by
NM
, 26-Nov-1994)
Ref
Expression
Hypothesis
negidi.1
⊢
A
∈
ℂ
Assertion
negcli
⊢
−
A
∈
ℂ
Proof
Step
Hyp
Ref
Expression
1
negidi.1
⊢
A
∈
ℂ
2
negcl
⊢
A
∈
ℂ
→
−
A
∈
ℂ
3
1
2
ax-mp
⊢
−
A
∈
ℂ