Theorem ex-or 16736

Description: Example for ax-io 721. 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 2238	. 2 |- 4 = 4
2	1	olci 744	1 |- ( 2 = 3 \/ 4 = 4 )

This proof depends on syntax axioms:   \/ wo 720   = wceq 1402   2c2 9355   3c3 9356   4c4 9357

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-io 721  ax-gen 1502  ax-ext 2220

This proof depends on definitions:  df-bi 117  df-cleq 2231

This theorem is used by: (None)