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Theorem 1p2e3 8443
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 8387 . 2  |-  2  e.  CC
2 ax-1cn 7341 . 2  |-  1  e.  CC
3 2p1e3 8442 . 2  |-  ( 2  +  1 )  =  3
41, 2, 3addcomli 7530 1  |-  ( 1  +  2 )  =  3
Colors of variables: wff set class
Syntax hints:    = wceq 1285  (class class class)co 5591   1c1 7254    + caddc 7256   2c2 8366   3c3 8367
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-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-11 1438  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2065  ax-resscn 7340  ax-1cn 7341  ax-1re 7342  ax-addrcl 7345  ax-addcom 7348
This theorem depends on definitions:  df-bi 115  df-nf 1391  df-sb 1688  df-clab 2070  df-cleq 2076  df-clel 2079  df-in 2990  df-ss 2997  df-2 8375  df-3 8376
This theorem is referenced by:  binom3  9906  3lcm2e6woprm  10848  1kp2ke3k  10995
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