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Mirrors > Home > ILE Home > Th. List > pm2.47 | GIF version |
Description: Theorem *2.47 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) |
Ref | Expression |
---|---|
pm2.47 | ⊢ (¬ (𝜑 ∨ 𝜓) → (¬ 𝜑 ∨ 𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.45 689 | . 2 ⊢ (¬ (𝜑 ∨ 𝜓) → ¬ 𝜑) | |
2 | 1 | orcd 684 | 1 ⊢ (¬ (𝜑 ∨ 𝜓) → (¬ 𝜑 ∨ 𝜓)) |
Colors of variables: wff set class |
Syntax hints: ¬ wn 3 → wi 4 ∨ wo 661 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-in1 576 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: (None) |
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