Theorem 2p1e3 8284

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 8218	. 2 |- 3 = ( 2 + 1 )
2	1	eqcomi 2087	1 |- ( 2 + 1 ) = 3

Syntax hints:   = wceq 1285  (class class class)co 5563   1c1 7096   + caddc 7098   2c2 8208   3c3 8209

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 1377  ax-gen 1379  ax-ext 2065

This theorem depends on definitions:  df-bi 115  df-cleq 2076  df-3 8218

This theorem is referenced by:  1p2e3  8285  cnm2m1cnm3  8401  6t5e30  8716  7t5e35  8721  8t4e32  8726  9t4e36  8733  decbin3  8751  m1modge3gt1  9505  fac3  9808  hash3  9889  nn0o1gt2  10512  flodddiv4  10541