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Metamath Proof Explorer
Description: Theorem *2.62 of WhiteheadRussell p. 107. (Contributed by NM, 3-Jan-2005) (Proof shortened by Wolf Lammen, 13-Dec-2013)
|
|
Ref |
Expression |
|
Assertion |
pm2.62 |
⊢ ( ( 𝜑 ∨ 𝜓 ) → ( ( 𝜑 → 𝜓 ) → 𝜓 ) ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
pm2.621 |
⊢ ( ( 𝜑 → 𝜓 ) → ( ( 𝜑 ∨ 𝜓 ) → 𝜓 ) ) |
| 2 |
1
|
com12 |
⊢ ( ( 𝜑 ∨ 𝜓 ) → ( ( 𝜑 → 𝜓 ) → 𝜓 ) ) |