Theorem 2p1e3 9172

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 9098	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2209	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1373  (class class class)co 5946   1c1 7928   + caddc 7930   2c2 9089   3c3 9090

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 1470  ax-gen 1472  ax-ext 2187

This theorem depends on definitions:  df-bi 117  df-cleq 2198  df-3 9098

This theorem is referenced by:  1p2e3  9173  cnm2m1cnm3  9291  6t5e30  9612  7t5e35  9617  8t4e32  9622  9t4e36  9629  decbin3  9647  halfthird  9648  fz0to3un2pr  10247  m1modge3gt1  10518  fac3  10879  hash3  10960  nn0o1gt2  12249  flodddiv4  12280  3exp3  12794  2lgsoddprmlem3c  15619