Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
= wceq 1542 ∈
wcel 2107 class class class wbr 5149
↦ cmpt 5232 Fincfn 8939
finSupp cfsupp 9361 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2704 ax-rep 5286 ax-sep 5300 ax-nul 5307 ax-pr 5428 ax-un 7725 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-ral 3063 df-rex 3072 df-reu 3378 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-pss 3968 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-iun 5000 df-br 5150 df-opab 5212 df-mpt 5233 df-tr 5267 df-id 5575 df-eprel 5581 df-po 5589 df-so 5590 df-fr 5632 df-we 5634 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-ord 6368 df-on 6369 df-lim 6370 df-suc 6371 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-ov 7412 df-oprab 7413 df-mpo 7414 df-om 7856 df-supp 8147 df-1o 8466 df-en 8940 df-fin 8943 df-fsupp 9362 |
This theorem is referenced by: gsummptfidmadd
19793 gsummptfidmsplit
19798 gsummptfidmsplitres
19799 gsummptshft
19804 gsummptfidminv
19815 gsummptfidmsub
19818 gsumzunsnd
19824 gsummptf1o
19831 srgbinomlem3
20051 srgbinomlem4
20052 psrass1
21525 mamuass
21902 mamuvs1
21905 mamuvs2
21906 dmatmul
21999 mavmulass
22051 mdetrsca
22105 smadiadetlem3
22170 mat2pmatmul
22233 decpmatmul
22274 cpmadugsumlemB
22376 cpmadugsumlemC
22377 tsmsxplem1
23657 tsmsxplem2
23658 plypf1
25726 taylpfval
25877 lgseisenlem3
26880 lgseisenlem4
26881 gsummpt2d
32201 gsummptres
32204 gsumvsca1
32371 gsumvsca2
32372 mdetpmtr1
32803 esumpfinval
33073 aacllem
47848 |