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Mirrors > Home > MPE Home > Th. List > olcd | Structured version Visualization version GIF version |
Description: Deduction introducing a disjunct. A translation of natural deduction rule ∨ IL (∨ insertion left), see natded 28491. (Contributed by NM, 11-Apr-2008.) (Proof shortened by Wolf Lammen, 3-Oct-2013.) |
Ref | Expression |
---|---|
orcd.1 | ⊢ (𝜑 → 𝜓) |
Ref | Expression |
---|---|
olcd | ⊢ (𝜑 → (𝜒 ∨ 𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orcd.1 | . . 3 ⊢ (𝜑 → 𝜓) | |
2 | 1 | orcd 873 | . 2 ⊢ (𝜑 → (𝜓 ∨ 𝜒)) |
3 | 2 | orcomd 871 | 1 ⊢ (𝜑 → (𝜒 ∨ 𝜓)) |
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