Theorem 2p1e3 9336

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 9262	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2235	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1398  (class class class)co 6028   1c1 8093   + caddc 8095   2c2 9253   3c3 9254

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1496  ax-gen 1498  ax-ext 2213

This theorem depends on definitions:  df-bi 117  df-cleq 2224  df-3 9262

This theorem is referenced by:  1p2e3  9337  cnm2m1cnm3  9455  6t5e30  9778  7t5e35  9783  8t4e32  9788  9t4e36  9795  decbin3  9813  halfthird  9814  fz0to3un2pr  10420  m1modge3gt1  10696  fac3  11057  hash3  11140  hashtpgim  11172  nn0o1gt2  12546  flodddiv4  12577  3exp3  13091  2lgsoddprmlem3c  15928  clwwlknonex2lem1  16378  clwwlknonex2lem2  16379  konigsberglem1  16429  konigsberglem2  16430  konigsberglem3  16431