Theorem pm2.32 512

Description: Theorem *2.32 of [WhiteheadRussell] p. 105. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm2.32	⊢ (((φ ∨ ψ) ∨ χ) → (φ ∨ (ψ ∨ χ)))

Proof of Theorem pm2.32

Step	Hyp	Ref	Expression
1		orass 510	. 2 ⊢ (((φ ∨ ψ) ∨ χ) ↔ (φ ∨ (ψ ∨ χ)))
2	1	biimpi 186	1 ⊢ (((φ ∨ ψ) ∨ χ) → (φ ∨ (ψ ∨ χ)))

Syntax hints:   → wi 4   ∨ wo 357

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 177  df-or 359

This theorem is referenced by: (None)