Theorem ex-an 15369

Description: Example for ax-ia1 106. 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 2196	. 2 ⊢ 2 = 2
2		eqid 2196	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 272	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 104   = wceq 1364  2c2 9041  3c3 9042

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-gen 1463  ax-ext 2178

This theorem depends on definitions:  df-bi 117  df-cleq 2189

This theorem is referenced by: (None)