Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 (class class class)co 7362
0cc0 11058 − cmin 11392 |
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 2708 ax-sep 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 ax-resscn 11115 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-addrcl 11119 ax-mulcl 11120 ax-mulrcl 11121 ax-mulcom 11122 ax-addass 11123 ax-mulass 11124 ax-distr 11125 ax-i2m1 11126 ax-1ne0 11127 ax-1rid 11128 ax-rnegex 11129 ax-rrecex 11130 ax-cnre 11131 ax-pre-lttri 11132 ax-pre-lttrn 11133 ax-pre-ltadd 11134 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-reu 3357 df-rab 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-po 5550 df-so 5551 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-riota 7318 df-ov 7365 df-oprab 7366 df-mpo 7367 df-er 8655 df-en 8891 df-dom 8892 df-sdom 8893 df-pnf 11198 df-mnf 11199 df-ltxr 11201 df-sub 11394 |
This theorem is referenced by: discr
14150 revs1
14660 fsumparts
15698 binom
15722 arisum2
15753 0fallfac
15927 binomfallfac
15931 fsumcube
15950 phiprmpw
16655 prmreclem4
16798 srgbinom
19969 mhpmulcl
21555 rrxdstprj1
24789 ovolicc1
24896 itgrevallem1
25175 coeeulem
25601 plydiveu
25674 pilem2
25827 dcubic
26212 harmonicbnd3
26373 lgamgulmlem2
26395 logexprlim
26589 bposlem1
26648 bposlem2
26649 rplogsumlem2
26849 pntrsumo1
26929 pntrlog2bndlem4
26944 pntrlog2bndlem5
26945 pntleml
26975 axlowdimlem6
27938 0cnfn
30964 lnopeq0i
30991 ballotlemfval0
33135 ballotlem4
33138 ballotlemi1
33142 sgnneg
33180 fwddifn0
34778 mblfinlem2
36145 itg2addnclem
36158 itg2addnclem3
36160 lcmineqlem10
40524 acongeq
41336 mpaaeu
41506 dvnmul
44258 itgsinexplem1
44269 |