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Mirrors > Home > MPE Home > Th. List > orcd | Structured version Visualization version GIF version |
Description: Deduction introducing a disjunct. A translation of natural deduction rule ∨ IR (∨ insertion right), see natded 28486. (Contributed by NM, 20-Sep-2007.) |
Ref | Expression |
---|---|
orcd.1 | ⊢ (𝜑 → 𝜓) |
Ref | Expression |
---|---|
orcd | ⊢ (𝜑 → (𝜓 ∨ 𝜒)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orcd.1 | . 2 ⊢ (𝜑 → 𝜓) | |
2 | orc 867 | . 2 ⊢ (𝜓 → (𝜓 ∨ 𝜒)) | |
3 | 1, 2 | syl 17 | 1 ⊢ (𝜑 → (𝜓 ∨ 𝜒)) |
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