Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Initial properties of the complex numbers
addlidd
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addcomd
Metamath Proof Explorer
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Theorem
addlidd
Description:
0
is a left identity for addition.
(Contributed by
Mario Carneiro
, 27-May-2016)
Ref
Expression
Hypothesis
muld.1
⊢
φ
→
A
∈
ℂ
Assertion
addlidd
⊢
φ
→
0
+
A
=
A
Proof
Step
Hyp
Ref
Expression
1
muld.1
⊢
φ
→
A
∈
ℂ
2
addlid
⊢
A
∈
ℂ
→
0
+
A
=
A
3
1
2
syl
⊢
φ
→
0
+
A
=
A