Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5149 (class class class)co 7409
ℝcr 11109 ≤
cle 11249 − cmin 11444 |
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 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-resscn 11167 ax-1cn 11168 ax-icn 11169 ax-addcl 11170 ax-addrcl 11171 ax-mulcl 11172 ax-mulrcl 11173 ax-mulcom 11174 ax-addass 11175 ax-mulass 11176 ax-distr 11177 ax-i2m1 11178 ax-1ne0 11179 ax-1rid 11180 ax-rnegex 11181 ax-rrecex 11182 ax-cnre 11183 ax-pre-lttri 11184 ax-pre-lttrn 11185 ax-pre-ltadd 11186 |
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-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-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 df-po 5589 df-so 5590 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-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-riota 7365 df-ov 7412 df-oprab 7413 df-mpo 7414 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 df-sub 11446 df-neg 11447 |
This theorem is referenced by: eluzmn
12829 elfzmlbm
13611 modmulnn
13854 icodiamlt
15382 rlimrege0
15523 climsqz2
15586 rlimsqz2
15597 isercolllem1
15611 caucvgrlem
15619 climcndslem1
15795 bitsinv1lem
16382 hashdvds
16708 4sqlem6
16876 dvfsumlem2
25544 dvfsumlem4
25546 dvfsum2
25551 isosctrlem1
26323 lgamgulmlem2
26534 basellem9
26593 ppiub
26707 chtub
26715 logfaclbnd
26725 bposlem1
26787 bposlem6
26792 selberg2lem
27053 pntpbnd2
27090 pntlemo
27110 ttgcontlem1
28142 axpaschlem
28198 axcontlem8
28229 cycpmco2lem7
32291 gg-dvfsumlem2
35183 dnibndlem10
35363 unblimceq0
35383 unbdqndv2lem2
35386 poimirlem6
36494 poimirlem7
36495 itg2addnclem3
36541 iccbnd
36708 lcmineqlem23
40916 sticksstones12a
40973 sticksstones12
40974 metakunt30
41014 jm2.24nn
41698 fzmaxdif
41720 areaquad
41965 monoords
44007 iccshift
44231 climinf
44322 sumnnodd
44346 dvnmul
44659 itgiccshift
44696 itgperiod
44697 itgsbtaddcnst
44698 stoweidlem13
44729 stoweidlem26
44742 stoweidlem34
44750 fourierdlem19
44842 fourierdlem42
44865 fourierdlem74
44896 fourierdlem75
44897 fourierdlem79
44901 fourierdlem81
44903 fourierdlem82
44904 fourierdlem103
44925 fourierdlem104
44926 fouriersw
44947 hoidmvlelem1
45311 bgoldbtbndlem2
46474 |