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Real and complex numbers - basic operations
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mulm1d
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mulneg1d
Metamath Proof Explorer
Ascii
Unicode
Theorem
mulm1d
Description:
Product with minus one is negative.
(Contributed by
Mario Carneiro
, 27-May-2016)
Ref
Expression
Hypothesis
mulm1d.1
⊢
φ
→
A
∈
ℂ
Assertion
mulm1d
⊢
φ
→
-1
⁢
A
=
−
A
Proof
Step
Hyp
Ref
Expression
1
mulm1d.1
⊢
φ
→
A
∈
ℂ
2
mulm1
⊢
A
∈
ℂ
→
-1
⁢
A
=
−
A
3
1
2
syl
⊢
φ
→
-1
⁢
A
=
−
A