Theorem 2p1e3 8853

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 8780	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2143	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1331  (class class class)co 5774   1c1 7621   + caddc 7623   2c2 8771   3c3 8772

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 1423  ax-gen 1425  ax-ext 2121

This theorem depends on definitions:  df-bi 116  df-cleq 2132  df-3 8780

This theorem is referenced by:  1p2e3  8854  cnm2m1cnm3  8971  6t5e30  9288  7t5e35  9293  8t4e32  9298  9t4e36  9305  decbin3  9323  halfthird  9324  m1modge3gt1  10144  fac3  10478  hash3  10559  nn0o1gt2  11602  flodddiv4  11631