Theorem ex-or 27972

Description: Example for df-or 834. 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 2775	. 2 ⊢ 4 = 4
2	1	olci 852	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 833   = wceq 1507  2c2 11492  3c3 11493  4c4 11494

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1758  ax-4 1772  ax-5 1869  ax-6 1928  ax-7 1964  ax-9 2057  ax-ext 2747

This theorem depends on definitions:  df-bi 199  df-an 388  df-or 834  df-ex 1743  df-cleq 2768

This theorem is referenced by: (None)