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Mirrors > Home > ILE Home > Th. List > nnred | GIF version |
Description: A positive integer is a real number. (Contributed by Mario Carneiro, 27-May-2016.) |
Ref | Expression |
---|---|
nnred.1 | ⊢ (𝜑 → 𝐴 ∈ ℕ) |
Ref | Expression |
---|---|
nnred | ⊢ (𝜑 → 𝐴 ∈ ℝ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnssre 8853 | . 2 ⊢ ℕ ⊆ ℝ | |
2 | nnred.1 | . 2 ⊢ (𝜑 → 𝐴 ∈ ℕ) | |
3 | 1, 2 | sselid 3136 | 1 ⊢ (𝜑 → 𝐴 ∈ ℝ) |
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