Theorem ex-or 30509

Description: Example for df-or 854. 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 2739	. 2 ⊢ 4 = 4
2	1	olci 872	1 ⊢ (2 = 3 ∨ 4 = 4)

Syntax hints:   ∨ wo 853   = wceq 1547  2c2 12227  3c3 12228  4c4 12229

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1802  ax-4 1816  ax-5 1917  ax-6 1974  ax-7 2015  ax-9 2129  ax-ext 2711

This theorem depends on definitions:  df-bi 208  df-an 397  df-or 854  df-ex 1787  df-cleq 2731

This theorem is referenced by: (None)