| Colors of
variables: wff
setvar class |
| Syntax hints:
= wceq 1542 ∈ wcel 2107
{csn 4628 (class class class)co 7406
0cc0 11107 ℤcz 12555
...cfz 13481 |
| 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-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7722 ax-cnex 11163 ax-resscn 11164 ax-1cn 11165 ax-addrcl 11168 ax-rnegex 11178 ax-cnre 11180 ax-pre-lttri 11181 ax-pre-lttrn 11182 |
| 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-nel 3048 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-iun 4999 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5574 df-po 5588 df-so 5589 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-iota 6493 df-fun 6543 df-fn 6544 df-f 6545 df-f1 6546 df-fo 6547 df-f1o 6548 df-fv 6549 df-ov 7409 df-oprab 7410 df-mpo 7411 df-1st 7972 df-2nd 7973 df-er 8700 df-en 8937 df-dom 8938 df-sdom 8939 df-pnf 11247 df-mnf 11248 df-xr 11249 df-ltxr 11250 df-le 11251 df-neg 11444 df-z 12556
df-uz 12820 df-fz 13482 |
| This theorem is referenced by: 1fv
13617 binomfallfac
15982 ef0lem
16019 4sqlem19
16893 gsumws1
18716 srgbinom
20048 psrbaglefi
21477 psrbaglefiOLD
21478 pmatcollpw3fi1lem1
22280 0spth
29369 0clwlkv
29374 wlkl0
29610 breprexp
33634 0prjspnlem
41362 0prjspnrel
41366 fmtnorec2
46198 |
