Metamath Proof Explorer


Theorem halfge0

Description: One-half is not negative. (Contributed by AV, 7-Jun-2020)

Ref Expression
Assertion halfge0 ⊢ 0 ≤ 1 2

Proof

Step Hyp Ref Expression
1 0re ⊢ 0 ∈ ℝ
2 halfre ⊢ 1 2 ∈ ℝ
3 halfgt0 ⊢ 0 < 1 2
4 1 2 3 ltleii ⊢ 0 ≤ 1 2