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Theorem gbpart7 45171
Description: The (weak) Goldbach partition of 7. (Contributed by AV, 20-Jul-2020.)
Assertion
Ref Expression
gbpart7 7 = ((2 + 2) + 3)

Proof of Theorem gbpart7
StepHypRef Expression
1 2p2e4 12091 . . 3 (2 + 2) = 4
21oveq1i 7278 . 2 ((2 + 2) + 3) = (4 + 3)
3 4p3e7 12110 . 2 (4 + 3) = 7
42, 3eqtr2i 2768 1 7 = ((2 + 2) + 3)
Colors of variables: wff setvar class
Syntax hints:   = wceq 1541  (class class class)co 7268   + caddc 10858  2c2 12011  3c3 12012  4c4 12013  7c7 12016
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1801  ax-4 1815  ax-5 1916  ax-6 1974  ax-7 2014  ax-8 2111  ax-9 2119  ax-ext 2710  ax-1cn 10913  ax-addcl 10915  ax-addass 10920
This theorem depends on definitions:  df-bi 206  df-an 396  df-or 844  df-3an 1087  df-tru 1544  df-fal 1554  df-ex 1786  df-sb 2071  df-clab 2717  df-cleq 2731  df-clel 2817  df-rab 3074  df-v 3432  df-dif 3894  df-un 3896  df-in 3898  df-ss 3908  df-nul 4262  df-if 4465  df-sn 4567  df-pr 4569  df-op 4573  df-uni 4845  df-br 5079  df-iota 6388  df-fv 6438  df-ov 7271  df-2 12019  df-3 12020  df-4 12021  df-5 12022  df-6 12023  df-7 12024
This theorem is referenced by:  7gbow  45176
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