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Metamath Proof Explorer

Theorem zrei

Description: An integer is a real number. (Contributed by NM, 14-Jul-2005)

Ref Expression
Hypothesis zrei.1 ⊢ 𝐴 ∈ ℤ
Assertion zrei 𝐴 ∈ ℝ

Proof

Step Hyp Ref Expression
1 zrei.1 ⊢ 𝐴 ∈ ℤ
2 zre ⊢ ( 𝐴 ∈ ℤ → 𝐴 ∈ ℝ )
3 1 2 ax-mp ⊢ 𝐴 ∈ ℝ