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Theorem 2p1e3 8846
Description: 2 + 1 = 3. (Contributed by Mario Carneiro, 18-Apr-2015.)
Assertion
Ref Expression
2p1e3  |-  ( 2  +  1 )  =  3

Proof of Theorem 2p1e3
StepHypRef Expression
1 df-3 8773 . 2  |-  3  =  ( 2  +  1 )
21eqcomi 2141 1  |-  ( 2  +  1 )  =  3
Colors of variables: wff set class
Syntax hints:    = wceq 1331  (class class class)co 5767   1c1 7614    + caddc 7616   2c2 8764   3c3 8765
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 2119
This theorem depends on definitions:  df-bi 116  df-cleq 2130  df-3 8773
This theorem is referenced by:  1p2e3  8847  cnm2m1cnm3  8964  6t5e30  9281  7t5e35  9286  8t4e32  9291  9t4e36  9298  decbin3  9316  halfthird  9317  m1modge3gt1  10137  fac3  10471  hash3  10552  nn0o1gt2  11591  flodddiv4  11620
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