Theorem ex-an 30751

Description: Example for df-an 401. 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 2763	. 2 ⊢ 2 = 2
2		eqid 2763	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 475	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 400   = wceq 1570  2c2 12296  3c3 12297

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1825  ax-4 1839  ax-5 1940  ax-6 1997  ax-7 2038  ax-9 2153  ax-ext 2735

This theorem depends on definitions:  df-bi 210  df-an 401  df-ex 1810  df-cleq 2755

This theorem is referenced by: (None)