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| Mirrors > Home > MPE Home > Th. List > orcomd | Structured version Visualization version GIF version | ||
| Description: Commutation of disjuncts in consequent. (Contributed by NM, 2-Dec-2010.) |
| Ref | Expression |
|---|---|
| orcomd.1 | ⊢ (𝜑 → (𝜓 ∨ 𝜒)) |
| Ref | Expression |
|---|---|
| orcomd | ⊢ (𝜑 → (𝜒 ∨ 𝜓)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | orcomd.1 | . 2 ⊢ (𝜑 → (𝜓 ∨ 𝜒)) | |
| 2 | orcom 871 | . 2 ⊢ ((𝜓 ∨ 𝜒) ↔ (𝜒 ∨ 𝜓)) | |
| 3 | 1, 2 | sylib 218 | 1 ⊢ (𝜑 → (𝜒 ∨ 𝜓)) |
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