Theorem pm2.62 897

Description: Theorem *2.62 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 13-Dec-2013.)

Assertion

Ref	Expression
pm2.62	⊢ ((𝜑 ∨ 𝜓) → ((𝜑 → 𝜓) → 𝜓))

Proof of Theorem pm2.62

Step	Hyp	Ref	Expression
1		pm2.621 896	. 2 ⊢ ((𝜑 → 𝜓) → ((𝜑 ∨ 𝜓) → 𝜓))
2	1	com12 32	1 ⊢ ((𝜑 ∨ 𝜓) → ((𝜑 → 𝜓) → 𝜓))

Syntax hints:   → wi 4   ∨ wo 844

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-or 845

This theorem is referenced by:  dfor2  899  plyrem  25465