Theorem ex-or 13440

Description: Example for ax-io 699. 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 2164	. 2 |- 4 = 4
2	1	olci 722	1 |- ( 2 = 3 \/ 4 = 4 )

Syntax hints:   \/ wo 698   = wceq 1342   2c2 8899   3c3 8900   4c4 8901

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699  ax-gen 1436  ax-ext 2146

This theorem depends on definitions:  df-bi 116  df-cleq 2157

This theorem is referenced by: (None)