Theorem 2p1e3 9319

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 9245	. 2 ⊢ 3 = (2 + 1)
2	1	eqcomi 2235	1 ⊢ (2 + 1) = 3

Syntax hints:   = wceq 1398  (class class class)co 6028  1c1 8076   + caddc 8078  2c2 9236  3c3 9237

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 9245

This theorem is referenced by:  1p2e3  9320  cnm2m1cnm3  9438  6t5e30  9761  7t5e35  9766  8t4e32  9771  9t4e36  9778  decbin3  9796  halfthird  9797  fz0to3un2pr  10403  m1modge3gt1  10679  fac3  11040  hash3  11123  hashtpgim  11155  nn0o1gt2  12529  flodddiv4  12560  3exp3  13074  2lgsoddprmlem3c  15911  clwwlknonex2lem1  16361  clwwlknonex2lem2  16362  konigsberglem1  16412  konigsberglem2  16413  konigsberglem3  16414