Theorem 2p1e3 8165

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 8099	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2085	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1284  (class class class)co 5532   1c1 6982   + caddc 6984   2c2 8089   3c3 8090

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1376  ax-gen 1378  ax-ext 2063

This theorem depends on definitions:  df-bi 115  df-cleq 2074  df-3 8099

This theorem is referenced by:  1p2e3  8166  cnm2m1cnm3  8282  6t5e30  8583  7t5e35  8588  8t4e32  8593  9t4e36  8600  decbin3  8618  m1modge3gt1  9373  fac3  9659  nn0o1gt2  10305  flodddiv4  10334