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Theorem 2p1e3 8821
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 8748 . 2  |-  3  =  ( 2  +  1 )
21eqcomi 2121 1  |-  ( 2  +  1 )  =  3
Colors of variables: wff set class
Syntax hints:    = wceq 1316  (class class class)co 5742   1c1 7589    + caddc 7591   2c2 8739   3c3 8740
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 1408  ax-gen 1410  ax-ext 2099
This theorem depends on definitions:  df-bi 116  df-cleq 2110  df-3 8748
This theorem is referenced by:  1p2e3  8822  cnm2m1cnm3  8939  6t5e30  9256  7t5e35  9261  8t4e32  9266  9t4e36  9273  decbin3  9291  halfthird  9292  m1modge3gt1  10112  fac3  10446  hash3  10527  nn0o1gt2  11529  flodddiv4  11558
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