Database
REAL AND COMPLEX NUMBERS
Integer sets
Integers (as a subset of complex numbers)
zred
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zcnd
Metamath Proof Explorer
Ascii
Unicode
Theorem
zred
Description:
An integer is a real number.
(Contributed by
Mario Carneiro
, 28-May-2016)
Ref
Expression
Hypothesis
zred.1
⊢
φ
→
A
∈
ℤ
Assertion
zred
⊢
φ
→
A
∈
ℝ
Proof
Step
Hyp
Ref
Expression
1
zred.1
⊢
φ
→
A
∈
ℤ
2
zssre
⊢
ℤ
⊆
ℝ
3
2
1
sselid
⊢
φ
→
A
∈
ℝ