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Metamath Proof Explorer

Theorem zred

Description: An integer is a real number. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis zred.1 ⊢ ( 𝜑 → 𝐴 ∈ ℤ )
Assertion zred ( 𝜑 → 𝐴 ∈ ℝ )

Proof

Step Hyp Ref Expression
1 zred.1 ⊢ ( 𝜑 → 𝐴 ∈ ℤ )
2 zssre ⊢ ℤ ⊆ ℝ
3 2 1 sselid ⊢ ( 𝜑 → 𝐴 ∈ ℝ )