Theorem ex-an 30570

Description: Example for df-an 400. 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 2761	. 2 ⊢ 2 = 2
2		eqid 2761	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 474	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 399   = wceq 1559  2c2 12269  3c3 12270

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1814  ax-4 1828  ax-5 1929  ax-6 1986  ax-7 2027  ax-9 2151  ax-ext 2733

This theorem depends on definitions:  df-bi 209  df-an 400  df-ex 1799  df-cleq 2753

This theorem is referenced by: (None)