This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem halfgt0

Description: One-half is greater than zero. (Contributed by NM, 24-Feb-2005)

Ref Expression
Assertion halfgt0 
|- 0 < ( 1 / 2 )

Proof

Step Hyp Ref Expression
1 2re 
 |-  2 e. RR
2 2pos 
 |-  0 < 2
3 1 2 recgt0ii 
 |-  0 < ( 1 / 2 )