Theorem ex-an 30517

Description: Example for df-an 397. Example by David A. Wheeler. (Contributed by Mario Carneiro, 9-May-2015.)

Assertion

Ref	Expression
ex-an	⊢ (2 = 2 ∧ 3 = 3)

Proof of Theorem ex-an

Step	Hyp	Ref	Expression
1		eqid 2740	. 2 ⊢ 2 = 2
2		eqid 2740	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 471	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 396   = wceq 1547  2c2 12234  3c3 12235

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 2712

This theorem depends on definitions:  df-bi 208  df-an 397  df-ex 1787  df-cleq 2732

This theorem is referenced by: (None)