Theorem ex-or 14662

Description: Example for ax-io 709. 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 2177	. 2 ⊢ 4 = 4
2	1	olci 732	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 708   = wceq 1353  2c2 8973  3c3 8974  4c4 8975

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 709  ax-gen 1449  ax-ext 2159

This theorem depends on definitions:  df-bi 117  df-cleq 2170

This theorem is referenced by: (None)