Theorem pm2.1 406

Description: Theorem *2.1 of [WhiteheadRussell] p. 101. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 23-Nov-2012.)

Assertion

Ref	Expression
pm2.1	⊢ (¬ φ ∨ φ)

Proof of Theorem pm2.1

Step	Hyp	Ref	Expression
1		id 19	. 2 ⊢ (φ → φ)
2	1	imori 402	1 ⊢ (¬ φ ∨ φ)

This proof depends on syntax axioms:  ¬ wn 3   ∨ wo 357

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 177  df-or 359

This theorem is used by:  nchoicelem9  6298  nchoicelem18  6307