Database
REAL AND COMPLEX NUMBERS
Derive the basic properties from the field axioms
Some deductions from the field axioms for complex numbers
mulid1i
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mulid2i
Metamath Proof Explorer
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Theorem
mulid1i
Description:
Identity law for multiplication.
(Contributed by
NM
, 14-Feb-1995)
Ref
Expression
Hypothesis
axi.1
⊢
A
∈
ℂ
Assertion
mulid1i
⊢
A
⋅
1
=
A
Proof
Step
Hyp
Ref
Expression
1
axi.1
⊢
A
∈
ℂ
2
mulid1
⊢
A
∈
ℂ
→
A
⋅
1
=
A
3
1
2
ax-mp
⊢
A
⋅
1
=
A