Database
REAL AND COMPLEX NUMBERS
Real and complex numbers - basic operations
Ordering on reals (cont.)
0le1
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relin01
Metamath Proof Explorer
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Theorem
0le1
Description:
0 is less than or equal to 1.
(Contributed by
Mario Carneiro
, 29-Apr-2015)
Ref
Expression
Assertion
0le1
⊢
0
≤
1
Proof
Step
Hyp
Ref
Expression
1
0re
⊢
0
∈
ℝ
2
1re
⊢
1
∈
ℝ
3
0lt1
⊢
0
<
1
4
1
2
3
ltleii
⊢
0
≤
1