Theorem ex-or 15368

Description: Example for ax-io 710. 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 2196	. 2 ⊢ 4 = 4
2	1	olci 733	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 709   = wceq 1364  2c2 9041  3c3 9042  4c4 9043

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 710  ax-gen 1463  ax-ext 2178

This theorem depends on definitions:  df-bi 117  df-cleq 2189

This theorem is referenced by: (None)