Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Initial properties of the complex numbers
addid2i
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mul02i
Metamath Proof Explorer
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Theorem
addid2i
Description:
0
is a left identity for addition.
(Contributed by
NM
, 3-Jan-2013)
Ref
Expression
Hypothesis
mul.1
⊢
A
∈
ℂ
Assertion
addid2i
⊢
0
+
A
=
A
Proof
Step
Hyp
Ref
Expression
1
mul.1
⊢
A
∈
ℂ
2
addid2
⊢
A
∈
ℂ
→
0
+
A
=
A
3
1
2
ax-mp
⊢
0
+
A
=
A