Theorem ex-or 15214

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 2193	. 2 |- 4 = 4
2	1	olci 733	1 |- ( 2 = 3 \/ 4 = 4 )

Syntax hints:   \/ wo 709   = wceq 1364   2c2 9033   3c3 9034   4c4 9035

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 1460  ax-ext 2175

This theorem depends on definitions:  df-bi 117  df-cleq 2186

This theorem is referenced by: (None)