Theorem ex-or 27408

Description: Example for df-or 384. Example by David A. Wheeler. (Contributed by Mario Carneiro, 9-May-2015.)

Assertion

Ref	Expression
ex-or	⊢ (2 = 3 ∨ 4 = 4)

Proof of Theorem ex-or

Step	Hyp	Ref	Expression
1		eqid 2651	. 2 ⊢ 4 = 4
2	1	olci 405	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 382   = wceq 1523  2c2 11108  3c3 11109  4c4 11110

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1762  ax-4 1777  ax-5 1879  ax-6 1945  ax-7 1981  ax-9 2039  ax-ext 2631

This theorem depends on definitions:  df-bi 197  df-or 384  df-an 385  df-ex 1745  df-cleq 2644

This theorem is referenced by: (None)