Theorem 2p1e3 8986

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 8913	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2169	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1343  (class class class)co 5841   1c1 7750   + caddc 7752   2c2 8904   3c3 8905

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 1435  ax-gen 1437  ax-ext 2147

This theorem depends on definitions:  df-bi 116  df-cleq 2158  df-3 8913

This theorem is referenced by:  1p2e3  8987  cnm2m1cnm3  9104  6t5e30  9424  7t5e35  9429  8t4e32  9434  9t4e36  9441  decbin3  9459  halfthird  9460  fz0to3un2pr  10054  m1modge3gt1  10302  fac3  10641  hash3  10722  nn0o1gt2  11838  flodddiv4  11867