| Colors of
variables: wff
setvar class |
| Syntax hints:
→ wi 4 ∈ wcel 2107
‘cfv 6544 ℝcr 11109 ⌊cfl 13755 |
| 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-cnex 11166 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 ax-pre-mulgt0 11187 ax-pre-sup 11188 |
| 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-rmo 3377 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-pred 6301 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-riota 7365 df-ov 7412 df-oprab 7413 df-mpo 7414 df-om 7856 df-2nd 7976 df-frecs 8266 df-wrecs 8297 df-recs 8371 df-rdg 8410 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-sup 9437 df-inf 9438 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 df-sub 11446 df-neg 11447 df-nn 12213 df-n0 12473 df-z 12559
df-uz 12823 df-fl 13757 |
| This theorem is referenced by: fllep1
13766 fraclt1
13767 fracle1
13768 fracge0
13769 fllt
13771 flflp1
13772 flid
13773 flltnz
13776 flval3
13780 refldivcl
13788 fladdz
13790 flzadd
13791 flmulnn0
13792 flltdivnn0lt
13798 ceige
13809 ceim1l
13812 flleceil
13818 fleqceilz
13819 intfracq
13824 fldiv
13825 uzsup
13828 modvalr
13837 modfrac
13849 flmod
13850 intfrac
13851 modmulnn
13854 modcyc
13871 modadd1
13873 moddi
13904 modirr
13907 digit2
14199 digit1
14200 facavg
14261 rddif
15287 absrdbnd
15288 rexuzre
15299 o1fsum
15759 flo1
15800 isprm7
16645 opnmbllem
25118 mbfi1fseqlem1
25233 mbfi1fseqlem3
25235 mbfi1fseqlem4
25236 mbfi1fseqlem5
25237 mbfi1fseqlem6
25238 dvfsumlem1
25543 dvfsumlem2
25544 dvfsumlem3
25545 dvfsumlem4
25546 dvfsum2
25551 harmonicbnd4
26515 chtfl
26653 chpfl
26654 ppieq0
26680 ppiltx
26681 ppiub
26707 chpeq0
26711 chtub
26715 logfac2
26720 chpub
26723 logfacubnd
26724 logfaclbnd
26725 lgsquadlem1
26883 chtppilimlem1
26976 vmadivsum
26985 dchrisumlema
26991 dchrisumlem1
26992 dchrisumlem3
26994 dchrmusum2
26997 dchrisum0lem1b
27018 dchrisum0lem1
27019 dchrisum0lem2a
27020 dchrisum0lem3
27022 mudivsum
27033 mulogsumlem
27034 selberglem2
27049 pntrlog2bndlem6
27086 pntpbnd2
27090 pntlemg
27101 pntlemr
27105 pntlemj
27106 pntlemf
27108 pntlemk
27109 minvecolem4
30164 gg-dvfsumlem2
35214 dnicld1
35396 dnibndlem2
35403 dnibndlem3
35404 dnibndlem4
35405 dnibndlem5
35406 dnibndlem7
35408 dnibndlem8
35409 dnibndlem9
35410 dnibndlem10
35411 dnibndlem11
35412 dnibndlem13
35414 dnibnd
35415 knoppcnlem4
35420 ltflcei
36524 leceifl
36525 opnmbllem0
36572 itg2addnclem2
36588 itg2addnclem3
36589 aks4d1p1p2
40983 hashnzfzclim
43129 lefldiveq
44050 fourierdlem4
44875 fourierdlem26
44897 fourierdlem47
44917 fourierdlem65
44935 flsubz
47251 dignn0flhalflem2
47350 |
