Metamath Proof Explorer


Theorem halfcld

Description: Closure of half of a number (frequently used special case). (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis 2timesd.1
|- ( ph -> A e. CC )
Assertion halfcld
|- ( ph -> ( A / 2 ) e. CC )

Proof

Step Hyp Ref Expression
1 2timesd.1
 |-  ( ph -> A e. CC )
2 halfcl
 |-  ( A e. CC -> ( A / 2 ) e. CC )
3 1 2 syl
 |-  ( ph -> ( A / 2 ) e. CC )