Theorem ex-or 30801

Description: Example for df-or 862. 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 2765	. 2 ⊢ 4 = 4
2	1	olci 880	1 ⊢ (2 = 3 ∨ 4 = 4)

This proof depends on syntax axioms:   ∨ wo 861   = wceq 1570  2c2 12306  3c3 12307  4c4 12308

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1828  ax-4 1842  ax-5 1943  ax-6 2000  ax-7 2041  ax-9 2156  ax-ext 2737

This proof depends on definitions:  df-bi 210  df-an 402  df-or 862  df-ex 1813  df-cleq 2757

This theorem is used by: (None)