Theorem ex-or 10560

Description: Example for ax-io 662. 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 2081	. 2 |- 4 = 4
2	1	olci 683	1 |- ( 2 = 3 \/ 4 = 4 )

Syntax hints:   \/ wo 661   = wceq 1284   2c2 8089   3c3 8090   4c4 8091

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 662  ax-gen 1378  ax-ext 2063

This theorem depends on definitions:  df-bi 115  df-cleq 2074

This theorem is referenced by: (None)