Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∈ wcel 2098 class class class wbr 5141
(class class class)co 7404 ℝcr 11108
0cc0 11109 < clt 11249
≤ cle 11250 / cdiv 11872
ℝ+crp 12977 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-sep 5292 ax-nul 5299 ax-pow 5356 ax-pr 5420 ax-un 7721 ax-resscn 11166 ax-1cn 11167 ax-icn 11168 ax-addcl 11169 ax-addrcl 11170 ax-mulcl 11171 ax-mulrcl 11172 ax-mulcom 11173 ax-addass 11174 ax-mulass 11175 ax-distr 11176 ax-i2m1 11177 ax-1ne0 11178 ax-1rid 11179 ax-rnegex 11180 ax-rrecex 11181 ax-cnre 11182 ax-pre-lttri 11183 ax-pre-lttrn 11184 ax-pre-ltadd 11185 ax-pre-mulgt0 11186 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ne 2935 df-nel 3041 df-ral 3056 df-rex 3065 df-rmo 3370 df-reu 3371 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-nul 4318 df-if 4524 df-pw 4599 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-br 5142 df-opab 5204 df-mpt 5225 df-id 5567 df-po 5581 df-so 5582 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-iota 6488 df-fun 6538 df-fn 6539 df-f 6540 df-f1 6541 df-fo 6542 df-f1o 6543 df-fv 6544 df-riota 7360 df-ov 7407 df-oprab 7408 df-mpo 7409 df-er 8702 df-en 8939 df-dom 8940 df-sdom 8941 df-pnf 11251 df-mnf 11252 df-xr 11253 df-ltxr 11254 df-le 11255 df-sub 11447 df-neg 11448 df-div 11873 df-rp 12978 |
This theorem is referenced by: iseralt
15634 nn0ehalf
16325 nn0oddm1d2
16332 bitsfzo
16380 bitsmod
16381 iserodd
16774 icopnfcnv
24817 logdiflbnd
26877 lgamgulmlem3
26913 chpo1ubb
27364 vmadivsumb
27366 rpvmasumlem
27370 dchrisumlem1
27372 dchrvmasumlem2
27381 rplogsum
27410 dirith2
27411 mulog2sumlem2
27418 vmalogdivsum2
27421 2vmadivsumlem
27423 selbergb
27432 selberg2b
27435 selberg4lem1
27443 pntrlog2bndlem2
27461 pntrlog2bndlem4
27463 pntrlog2bndlem5
27464 pntrlog2bndlem6
27466 pntrlog2bnd
27467 pntibndlem2
27474 ttgcontlem1
28645 sqsscirc1
33417 faclimlem1
35245 knoppndvlem14
35908 itg2addnclem2
37052 geomcau
37139 3lexlogpow5ineq2
41435 aks4d1p1p7
41454 areaquad
42523 sqrtcvallem2
42946 sqrtcvallem4
42948 stirlinglem11
45354 stirlinglem12
45355 fourierdlem26
45403 fourierdlem30
45407 fourierdlem47
45423 sge0ad2en
45701 eenglngeehlnmlem2
47681 |