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Theorem addc6 4418
Description: Rearrange cardinal summation of six arguments. (Contributed by SF, 13-Mar-2015.)
Assertion
Ref Expression
addc6

Proof of Theorem addc6
StepHypRef Expression
1 addc4 4417 . . . . 5
21addceq1i 4386 . . . 4
3 addc32 4416 . . . 4
42, 3eqtri 2373 . . 3
54addceq1i 4386 . 2
6 addcass 4415 . 2
7 addcass 4415 . 2
85, 6, 73eqtr3i 2381 1
Colors of variables: wff setvar class
Syntax hints:   wceq 1642   cplc 4375
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334  ax-nin 4078  ax-sn 4087
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-3an 936  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-ne 2518  df-ral 2619  df-rex 2620  df-v 2861  df-nin 3211  df-compl 3212  df-in 3213  df-un 3214  df-dif 3215  df-symdif 3216  df-ss 3259  df-nul 3551  df-pw 3724  df-sn 3741  df-pr 3742  df-opk 4058  df-1c 4136  df-pw1 4137  df-ins2k 4187  df-ins3k 4188  df-imak 4189  df-sik 4192  df-ssetk 4193  df-addc 4378
This theorem is referenced by:  nnc3n3p1  6278
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