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rehalfcld
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lt2halvesd
Metamath Proof Explorer
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Theorem
rehalfcld
Description:
Real closure of half.
(Contributed by
Mario Carneiro
, 27-May-2016)
Ref
Expression
Hypothesis
rehalfcld.1
⊢
φ
→
A
∈
ℝ
Assertion
rehalfcld
⊢
φ
→
A
2
∈
ℝ
Proof
Step
Hyp
Ref
Expression
1
rehalfcld.1
⊢
φ
→
A
∈
ℝ
2
rehalfcl
⊢
A
∈
ℝ
→
A
2
∈
ℝ
3
1
2
syl
⊢
φ
→
A
2
∈
ℝ