Database
REAL AND COMPLEX NUMBERS
Elementary real and complex functions
Real and imaginary parts; conjugate
im1
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rei
Metamath Proof Explorer
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Theorem
im1
Description:
The imaginary part of one.
(Contributed by
Scott Fenton
, 9-Jun-2006)
Ref
Expression
Assertion
im1
⊢
ℑ
⁡
1
=
0
Proof
Step
Hyp
Ref
Expression
1
1re
⊢
1
∈
ℝ
2
reim0
⊢
1
∈
ℝ
→
ℑ
⁡
1
=
0
3
1
2
ax-mp
⊢
ℑ
⁡
1
=
0