Database
REAL AND COMPLEX NUMBERS
Integer sets
Decimal representation of numbers
3re
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3cn
Metamath Proof Explorer
Ascii
Structured
Theorem
3re
Description:
The number 3 is real.
(Contributed by
NM
, 27-May-1999)
Ref
Expression
Assertion
3re
⊢
3 ∈ ℝ
Proof
Step
Hyp
Ref
Expression
1
df-3
⊢
3 = ( 2 + 1 )
2
2re
⊢
2 ∈ ℝ
3
1re
⊢
1 ∈ ℝ
4
2
3
readdcli
⊢
( 2 + 1 ) ∈ ℝ
5
1
4
eqeltri
⊢
3 ∈ ℝ