Theorem ex-an 12374

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 2095	. 2 |- 2 = 2
2		eqid 2095	. 2 |- 3 = 3
3	1, 2	pm3.2i 267	1 |- ( 2 = 2 /\ 3 = 3 )

Syntax hints:   /\ wa 103   = wceq 1296   2c2 8571   3c3 8572

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-gen 1390  ax-ext 2077

This theorem depends on definitions:  df-bi 116  df-cleq 2088

This theorem is referenced by: (None)