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Mirrors > Home > ILE Home > Th. List > orcomd | 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 723 | . 2 ⊢ ((𝜓 ∨ 𝜒) ↔ (𝜒 ∨ 𝜓)) | |
3 | 1, 2 | sylib 121 | 1 ⊢ (𝜑 → (𝜒 ∨ 𝜓)) |
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