Theorem ex-or 30709

Description: Example for df-or 861. 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 2769	. 2 ⊢ 4 = 4
2	1	olci 879	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 860   = wceq 1567  2c2 12291  3c3 12292  4c4 12293

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1822  ax-4 1836  ax-5 1937  ax-6 1994  ax-7 2035  ax-9 2159  ax-ext 2741

This theorem depends on definitions:  df-bi 210  df-an 401  df-or 861  df-ex 1807  df-cleq 2761

This theorem is referenced by: (None)