| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > 3re | Structured version Visualization version GIF version | ||
| Description: The number 3 is real. (Contributed by NM, 27-May-1999.) |
| Ref | Expression |
|---|---|
| 3re | ⊢ 3 ∈ ℝ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-3 12330 | . 2 ⊢ 3 = (2 + 1) | |
| 2 | 2re 12340 | . . 3 ⊢ 2 ∈ ℝ | |
| 3 | 1re 11261 | . . 3 ⊢ 1 ∈ ℝ | |
| 4 | 2, 3 | readdcli 11276 | . 2 ⊢ (2 + 1) ∈ ℝ |
| 5 | 1, 4 | eqeltri 2837 | 1 ⊢ 3 ∈ ℝ |
| Copyright terms: Public domain | W3C validator |