Theorem ex-an 30147

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 2724	. 2 ⊢ 2 = 2
2		eqid 2724	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 470	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 395   = wceq 1533  2c2 12265  3c3 12266

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963  ax-7 2003  ax-9 2108  ax-ext 2695

This theorem depends on definitions:  df-bi 206  df-an 396  df-ex 1774  df-cleq 2716

This theorem is referenced by: (None)