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Theorem 1p2e3 8808
Description: 1 + 2 = 3 (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
1p2e3  |-  ( 1  +  2 )  =  3

Proof of Theorem 1p2e3
StepHypRef Expression
1 2cn 8751 . 2  |-  2  e.  CC
2 ax-1cn 7677 . 2  |-  1  e.  CC
3 2p1e3 8807 . 2  |-  ( 2  +  1 )  =  3
41, 2, 3addcomli 7871 1  |-  ( 1  +  2 )  =  3
Colors of variables: wff set class
Syntax hints:    = wceq 1314  (class class class)co 5740   1c1 7585    + caddc 7587   2c2 8731   3c3 8732
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 1406  ax-7 1407  ax-gen 1408  ax-ie1 1452  ax-ie2 1453  ax-8 1465  ax-11 1467  ax-4 1470  ax-17 1489  ax-i9 1493  ax-ial 1497  ax-i5r 1498  ax-ext 2097  ax-resscn 7676  ax-1cn 7677  ax-1re 7678  ax-addrcl 7681  ax-addcom 7684
This theorem depends on definitions:  df-bi 116  df-nf 1420  df-sb 1719  df-clab 2102  df-cleq 2108  df-clel 2111  df-in 3045  df-ss 3052  df-2 8739  df-3 8740
This theorem is referenced by:  binom3  10360  3lcm2e6woprm  11674  1kp2ke3k  12770
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