Metamath Proof Explorer


Theorem nnxr

Description: A natural number is an extended real. (Contributed by Glauco Siliprandi, 24-Jan-2025)

Ref Expression
Assertion nnxr ⊢ N ∈ ℕ → N ∈ ℝ *

Proof

Step Hyp Ref Expression
1 id ⊢ N ∈ ℕ → N ∈ ℕ
2 1 nnxrd ⊢ N ∈ ℕ → N ∈ ℝ *