Theorem 2p1e3 8877

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 8804	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2144	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1332  (class class class)co 5782  1c1 7645   + caddc 7647  2c2 8795  3c3 8796

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 1424  ax-gen 1426  ax-ext 2122

This theorem depends on definitions:  df-bi 116  df-cleq 2133  df-3 8804

This theorem is referenced by:  1p2e3  8878  cnm2m1cnm3  8995  6t5e30  9312  7t5e35  9317  8t4e32  9322  9t4e36  9329  decbin3  9347  halfthird  9348  m1modge3gt1  10175  fac3  10510  hash3  10591  nn0o1gt2  11638  flodddiv4  11667