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2timesd
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times2d
Metamath Proof Explorer
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Unicode
Theorem
2timesd
Description:
Two times a number.
(Contributed by
Mario Carneiro
, 27-May-2016)
Ref
Expression
Hypothesis
2timesd.1
⊢
φ
→
A
∈
ℂ
Assertion
2timesd
⊢
φ
→
2
⁢
A
=
A
+
A
Proof
Step
Hyp
Ref
Expression
1
2timesd.1
⊢
φ
→
A
∈
ℂ
2
2times
⊢
A
∈
ℂ
→
2
⁢
A
=
A
+
A
3
1
2
syl
⊢
φ
→
2
⁢
A
=
A
+
A