Theorem ex-or 13757

Description: Example for ax-io 704. 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 2170	. 2 ⊢ 4 = 4
2	1	olci 727	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 703   = wceq 1348  2c2 8929  3c3 8930  4c4 8931

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 704  ax-gen 1442  ax-ext 2152

This theorem depends on definitions:  df-bi 116  df-cleq 2163

This theorem is referenced by: (None)