Metamath Proof Explorer


Theorem rexr

Description: A standard real is an extended real. (Contributed by NM, 14-Oct-2005)

Ref Expression
Assertion rexr ⊢ A ∈ ℝ → A ∈ ℝ *

Proof

Step Hyp Ref Expression
1 ressxr ⊢ ℝ ⊆ ℝ *
2 1 sseli ⊢ A ∈ ℝ → A ∈ ℝ *