Metamath Proof Explorer

Theorem resqrtcld

Description: The square root of a nonnegative real is a real. (Contributed by Mario Carneiro, 29-May-2016)

Ref Expression
Hypotheses resqrcld.1 φ A
resqrcld.2 φ 0 A
Assertion resqrtcld φ A


Step Hyp Ref Expression
1 resqrcld.1 φ A
2 resqrcld.2 φ 0 A
3 resqrtcl A 0 A A
4 1 2 3 syl2anc φ A