Database
REAL AND COMPLEX NUMBERS
Integer sets
Rational numbers (as a subset of complex numbers)
qssre
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qsscn
Metamath Proof Explorer
Ascii
Structured
Theorem
qssre
Description:
The rationals are a subset of the reals.
(Contributed by
NM
, 9-Jan-2002)
Ref
Expression
Assertion
qssre
⊢
ℚ ⊆ ℝ
Proof
Step
Hyp
Ref
Expression
1
qre
⊢
(
𝑥
∈ ℚ →
𝑥
∈ ℝ )
2
1
ssriv
⊢
ℚ ⊆ ℝ