Theorem ex-or 9893

Description: Example for ax-io 630. 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 2040	. 2 |- 4 = 4
2	1	olci 651	1 |- ( 2 = 3 \/ 4 = 4 )

Syntax hints:   \/ wo 629   = wceq 1243   2c2 7964   3c3 7965   4c4 7966

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 630  ax-gen 1338  ax-ext 2022

This theorem depends on definitions:  df-bi 110  df-cleq 2033

This theorem is referenced by: (None)