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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