Theorem ex-an 12628

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 2115	. 2 ⊢ 2 = 2
2		eqid 2115	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 268	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 103   = wceq 1314  2c2 8681  3c3 8682

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 1408  ax-ext 2097

This theorem depends on definitions:  df-bi 116  df-cleq 2108

This theorem is referenced by: (None)