Theorem ex-an 10561

Description: Example for ax-ia1 104. 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 2081	. 2 ⊢ 2 = 2
2		eqid 2081	. 2 ⊢ 3 = 3
3	1, 2	pm3.2i 266	1 ⊢ (2 = 2 ∧ 3 = 3)

Syntax hints:   ∧ wa 102   = wceq 1284  2c2 8089  3c3 8090

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-gen 1378  ax-ext 2063

This theorem depends on definitions:  df-bi 115  df-cleq 2074

This theorem is referenced by: (None)