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REAL AND COMPLEX NUMBERS
Real and complex numbers - basic operations
Multiplication
mulm1i
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mulneg1i
Metamath Proof Explorer
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Theorem
mulm1i
Description:
Product with minus one is negative.
(Contributed by
NM
, 31-Jul-1999)
Ref
Expression
Hypothesis
mulm1.1
⊢
A
∈
ℂ
Assertion
mulm1i
⊢
-1
⁢
A
=
−
A
Proof
Step
Hyp
Ref
Expression
1
mulm1.1
⊢
A
∈
ℂ
2
mulm1
⊢
A
∈
ℂ
→
-1
⁢
A
=
−
A
3
1
2
ax-mp
⊢
-1
⁢
A
=
−
A