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sqcli
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sqeq0i
Metamath Proof Explorer
Ascii
Structured
Theorem
sqcli
Description:
Closure of square.
(Contributed by
NM
, 2-Aug-1999)
Ref
Expression
Hypothesis
sqval.1
⊢
𝐴
∈ ℂ
Assertion
sqcli
⊢
(
𝐴
↑ 2 ) ∈ ℂ
Proof
Step
Hyp
Ref
Expression
1
sqval.1
⊢
𝐴
∈ ℂ
2
sqcl
⊢
(
𝐴
∈ ℂ → (
𝐴
↑ 2 ) ∈ ℂ )
3
1
2
ax-mp
⊢
(
𝐴
↑ 2 ) ∈ ℂ