Description: A positive integer is a positive real. (Contributed by Mario Carneiro, 28-May-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | nnrpd.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℕ ) | |
Assertion | nnrpd | ⊢ ( 𝜑 → 𝐴 ∈ ℝ^{+} ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnrpd.1 | ⊢ ( 𝜑 → 𝐴 ∈ ℕ ) | |
2 | nnrp | ⊢ ( 𝐴 ∈ ℕ → 𝐴 ∈ ℝ^{+} ) | |
3 | 1 2 | syl | ⊢ ( 𝜑 → 𝐴 ∈ ℝ^{+} ) |