Theorem 2p1e3 9011

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 8938	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2174	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1348  (class class class)co 5853   1c1 7775   + caddc 7777   2c2 8929   3c3 8930

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 1440  ax-gen 1442  ax-ext 2152

This theorem depends on definitions:  df-bi 116  df-cleq 2163  df-3 8938

This theorem is referenced by:  1p2e3  9012  cnm2m1cnm3  9129  6t5e30  9449  7t5e35  9454  8t4e32  9459  9t4e36  9466  decbin3  9484  halfthird  9485  fz0to3un2pr  10079  m1modge3gt1  10327  fac3  10666  hash3  10748  nn0o1gt2  11864  flodddiv4  11893