Metamath Proof Explorer


Theorem rehalfcld

Description: Real closure of half. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis rehalfcld.1
|- ( ph -> A e. RR )
Assertion rehalfcld
|- ( ph -> ( A / 2 ) e. RR )

Proof

Step Hyp Ref Expression
1 rehalfcld.1
 |-  ( ph -> A e. RR )
2 rehalfcl
 |-  ( A e. RR -> ( A / 2 ) e. RR )
3 1 2 syl
 |-  ( ph -> ( A / 2 ) e. RR )