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 + ⊆ ℂ

Proof

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