Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 (class class class)co 7361
0cc0 11059 1c1 11060
− cmin 11393 |
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 5260 ax-nul 5267 ax-pow 5324 ax-pr 5388 ax-un 7676 ax-resscn 11116 ax-1cn 11117 ax-icn 11118 ax-addcl 11119 ax-addrcl 11120 ax-mulcl 11121 ax-mulrcl 11122 ax-mulcom 11123 ax-addass 11124 ax-mulass 11125 ax-distr 11126 ax-i2m1 11127 ax-1ne0 11128 ax-1rid 11129 ax-rnegex 11130 ax-rrecex 11131 ax-cnre 11132 ax-pre-lttri 11133 ax-pre-lttrn 11134 ax-pre-ltadd 11135 |
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 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-reu 3353 df-rab 3407 df-v 3449 df-sbc 3744 df-csb 3860 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-pw 4566 df-sn 4591 df-pr 4593 df-op 4597 df-uni 4870 df-br 5110 df-opab 5172 df-mpt 5193 df-id 5535 df-po 5549 df-so 5550 df-xp 5643 df-rel 5644 df-cnv 5645 df-co 5646 df-dm 5647 df-rn 5648 df-res 5649 df-ima 5650 df-iota 6452 df-fun 6502 df-fn 6503 df-f 6504 df-f1 6505 df-fo 6506 df-f1o 6507 df-fv 6508 df-riota 7317 df-ov 7364 df-oprab 7365 df-mpo 7366 df-er 8654 df-en 8890 df-dom 8891 df-sdom 8892 df-pnf 11199 df-mnf 11200 df-ltxr 11202 df-sub 11395 |
This theorem is referenced by: nnm1nn0
12462 xov1plusxeqvd
13424 fseq1p1m1
13524 elfzp1b
13527 elfzm1b
13528 elfznelfzo
13686 fldiv4lem1div2
13751 fzennn
13882 faclbnd4lem4
14205 lsw1
14464 ccat2s1p2
14527 revs1
14662 arisum
15753 pwdif
15761 geo2sum
15766 bpoly1
15942 nn0o
16273 exprmfct
16588 phiprmpw
16656 phiprm
16657 odzdvds
16675 prmpwdvds
16784 prmreclem4
16799 vdwapun
16854 sylow1lem1
19388 efgs1b
19526 efgsfo
19529 efgredlema
19530 efgredeu
19542 imasdsf1olem
23749 htpycom
24362 htpycc
24366 reparphti
24383 pcoval2
24402 pcocn
24403 pcohtpylem
24405 pcopt
24408 pcorevcl
24411 pcorevlem
24412 pi1xfrcnv
24443 dvexp
25340 dvlipcn
25381 dvply1
25667 vieta1
25695 pserdvlem2
25810 abelthlem2
25814 coseq1
25904 advlogexp
26033 logtayl
26038 cxpaddlelem
26127 isosctrlem2
26192 asin1
26267 leibpilem2
26314 log2ublem3
26321 scvxcvx
26358 1sgmprm
26570 dchrfi
26626 lgslem4
26671 lgsne0
26706 lgsquad2lem2
26756 2lgsoddprmlem3a
26781 rpvmasumlem
26858 selberg2lem
26921 logdivbnd
26927 pntrsumo1
26936 pntrlog2bndlem4
26951 pntrlog2bndlem5
26952 pntpbnd2
26958 ostth2lem2
27005 axpaschlem
27938 elntg2
27983 wwlksn0s
28855 clwwlkn1
29034 hst1h
31218 st0
31240 archirngz
32081 drngdimgt0
32377 lmatfval
32459 lmat22e11
32463 fib2
33066 ballotlem4
33162 ballotlemi1
33166 ballotlemii
33167 ballotlemic
33170 ballotlem1c
33171 ballotlemfrceq
33192 signsvtn0
33246 signstfveq0a
33252 subfacp1lem6
33843 cvxpconn
33900 cvxsconn
33901 cvmliftlem10
33952 cvmliftlem13
33954 bcprod
34374 poimirlem3
36131 poimirlem4
36132 poimirlem13
36141 poimirlem19
36147 lcmfunnnd
40519 lcm1un
40520 lcmineqlem10
40545 lcmineqlem12
40547 lcmineqlem18
40553 metakunt30
40656 mapfzcons
41086 irrapxlem3
41194 2nn0ind
41316 jm2.18
41359 jm2.23
41367 dvnmul
44274 stoweidlem1
44332 stoweidlem11
44342 stoweidlem26
44357 stoweidlem34
44365 stoweidlem45
44376 wallispilem3
44398 wallispi
44401 stirlinglem5
44409 sqwvfourb
44560 upwordsing
45213 proththdlem
45895 341fppr2
46016 nnsgrpnmnd
46202 blen1b
46764 nn0sumshdiglem1
46797 |