Theorem ex-an 13614

Description: Example for ax-ia1 105. 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 2165	. 2 |- 2 = 2
2		eqid 2165	. 2 |- 3 = 3
3	1, 2	pm3.2i 270	1 |- ( 2 = 2 /\ 3 = 3 )

Syntax hints:   /\ wa 103   = wceq 1343   2c2 8908   3c3 8909

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-gen 1437  ax-ext 2147

This theorem depends on definitions:  df-bi 116  df-cleq 2158

This theorem is referenced by: (None)