Theorem 2p1e3 8961

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 8888	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2161	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1335  (class class class)co 5821  1c1 7728   + caddc 7730  2c2 8879  3c3 8880

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1427  ax-gen 1429  ax-ext 2139

This theorem depends on definitions:  df-bi 116  df-cleq 2150  df-3 8888

This theorem is referenced by:  1p2e3  8962  cnm2m1cnm3  9079  6t5e30  9396  7t5e35  9401  8t4e32  9406  9t4e36  9413  decbin3  9431  halfthird  9432  m1modge3gt1  10265  fac3  10601  hash3  10682  nn0o1gt2  11790  flodddiv4  11819