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