Theorem ex-or 28184

Description: Example for df-or 844. 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 2821	. 2 ⊢ 4 = 4
2	1	olci 862	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 843   = wceq 1537  2c2 11679  3c3 11680  4c4 11681

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1796  ax-4 1810  ax-5 1911  ax-6 1970  ax-7 2015  ax-9 2124  ax-ext 2793

This theorem depends on definitions:  df-bi 209  df-an 399  df-or 844  df-ex 1781  df-cleq 2814

This theorem is referenced by: (None)