Metamath Proof Explorer


Theorem rpsscn

Description: The positive reals are a subset of the complex numbers. (Contributed by SN, 1-Oct-2025)

Ref Expression
Assertion rpsscn ⊢ ℝ + ⊆ ℂ

Proof

Step Hyp Ref Expression
1 rpssre ⊢ ℝ + ⊆ ℝ
2 ax-resscn ⊢ ℝ ⊆ ℂ
3 1 2 sstri ⊢ ℝ + ⊆ ℂ