Theorem ex-an 30225

Description: Example for df-an 396. 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 2728	. 2 ⊢ 2 = 2
2		eqid 2728	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 470	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 395   = wceq 1534  2c2 12291  3c3 12292

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1790  ax-4 1804  ax-5 1906  ax-6 1964  ax-7 2004  ax-9 2109  ax-ext 2699

This theorem depends on definitions:  df-bi 206  df-an 396  df-ex 1775  df-cleq 2720

This theorem is referenced by: (None)