Metamath Proof Explorer


Theorem rpssre

Description: The positive reals are a subset of the reals. (Contributed by NM, 24-Feb-2008)

Ref Expression
Assertion rpssre ⊢ ℝ + ⊆ ℝ

Proof

Step Hyp Ref Expression
1 df-rp ⊢ ℝ + = x ∈ ℝ | 0 < x
2 1 ssrab3 ⊢ ℝ + ⊆ ℝ