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Mirrors > Home > MPE Home > Th. List > nn0red | Structured version Visualization version GIF version |
Description: A nonnegative integer is a real number. (Contributed by Mario Carneiro, 27-May-2016.) |
Ref | Expression |
---|---|
nn0red.1 | ⊢ (𝜑 → 𝐴 ∈ ℕ0) |
Ref | Expression |
---|---|
nn0red | ⊢ (𝜑 → 𝐴 ∈ ℝ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0ssre 12123 | . 2 ⊢ ℕ0 ⊆ ℝ | |
2 | nn0red.1 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℕ0) | |
3 | 1, 2 | sselid 3915 | 1 ⊢ (𝜑 → 𝐴 ∈ ℝ) |
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