Theorem 2p1e3 9082

Description: 2 + 1 = 3. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
2p1e3	⊢ (2 + 1) = 3

Proof of Theorem 2p1e3

Step	Hyp	Ref	Expression
1		df-3 9009	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2193	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1364  (class class class)co 5896  1c1 7842   + caddc 7844  2c2 9000  3c3 9001

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-5 1458  ax-gen 1460  ax-ext 2171

This theorem depends on definitions:  df-bi 117  df-cleq 2182  df-3 9009

This theorem is referenced by:  1p2e3  9083  cnm2m1cnm3  9200  6t5e30  9520  7t5e35  9525  8t4e32  9530  9t4e36  9537  decbin3  9555  halfthird  9556  fz0to3un2pr  10153  m1modge3gt1  10402  fac3  10744  hash3  10825  nn0o1gt2  11942  flodddiv4  11971  2lgsoddprmlem3c  14915