| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > olci | Structured version Visualization version GIF version | ||
| Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Proof shortened by Wolf Lammen, 14-Nov-2012.) |
| Ref | Expression |
|---|---|
| orci.1 | ⊢ 𝜑 |
| Ref | Expression |
|---|---|
| olci | ⊢ (𝜓 ∨ 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | orci.1 | . . 3 ⊢ 𝜑 | |
| 2 | 1 | a1i 11 | . 2 ⊢ (¬ 𝜓 → 𝜑) |
| 3 | 2 | orri 863 | 1 ⊢ (𝜓 ∨ 𝜑) |
| Copyright terms: Public domain | W3C validator |