Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 394
∈ wcel 2098 class class class wbr 5152
(class class class)co 7426 ℝcr 11145
0cc0 11146 < clt 11286
≤ cle 11287 / cdiv 11909
ℝ+crp 13014 |
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 2166 ax-ext 2699 ax-sep 5303 ax-nul 5310 ax-pow 5369 ax-pr 5433 ax-un 7746 ax-resscn 11203 ax-1cn 11204 ax-icn 11205 ax-addcl 11206 ax-addrcl 11207 ax-mulcl 11208 ax-mulrcl 11209 ax-mulcom 11210 ax-addass 11211 ax-mulass 11212 ax-distr 11213 ax-i2m1 11214 ax-1ne0 11215 ax-1rid 11216 ax-rnegex 11217 ax-rrecex 11218 ax-cnre 11219 ax-pre-lttri 11220 ax-pre-lttrn 11221 ax-pre-ltadd 11222 ax-pre-mulgt0 11223 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2529 df-eu 2558 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-rmo 3374 df-reu 3375 df-rab 3431 df-v 3475 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4327 df-if 4533 df-pw 4608 df-sn 4633 df-pr 4635 df-op 4639 df-uni 4913 df-br 5153 df-opab 5215 df-mpt 5236 df-id 5580 df-po 5594 df-so 5595 df-xp 5688 df-rel 5689 df-cnv 5690 df-co 5691 df-dm 5692 df-rn 5693 df-res 5694 df-ima 5695 df-iota 6505 df-fun 6555 df-fn 6556 df-f 6557 df-f1 6558 df-fo 6559 df-f1o 6560 df-fv 6561 df-riota 7382 df-ov 7429 df-oprab 7430 df-mpo 7431 df-er 8731 df-en 8971 df-dom 8972 df-sdom 8973 df-pnf 11288 df-mnf 11289 df-xr 11290 df-ltxr 11291 df-le 11292 df-sub 11484 df-neg 11485 df-div 11910 df-rp 13015 |
This theorem is referenced by: iseralt
15671 nn0ehalf
16362 nn0oddm1d2
16369 bitsfzo
16417 bitsmod
16418 iserodd
16811 icopnfcnv
24887 logdiflbnd
26947 lgamgulmlem3
26983 chpo1ubb
27434 vmadivsumb
27436 rpvmasumlem
27440 dchrisumlem1
27442 dchrvmasumlem2
27451 rplogsum
27480 dirith2
27481 mulog2sumlem2
27488 vmalogdivsum2
27491 2vmadivsumlem
27493 selbergb
27502 selberg2b
27505 selberg4lem1
27513 pntrlog2bndlem2
27531 pntrlog2bndlem4
27533 pntrlog2bndlem5
27534 pntrlog2bndlem6
27536 pntrlog2bnd
27537 pntibndlem2
27544 ttgcontlem1
28715 sqsscirc1
33542 faclimlem1
35370 knoppndvlem14
36033 itg2addnclem2
37178 geomcau
37265 3lexlogpow5ineq2
41558 aks4d1p1p7
41577 aks6d1c2lem4
41630 aks6d1c7lem1
41684 areaquad
42675 sqrtcvallem2
43098 sqrtcvallem4
43100 stirlinglem11
45501 stirlinglem12
45502 fourierdlem26
45550 fourierdlem30
45554 fourierdlem47
45570 sge0ad2en
45848 eenglngeehlnmlem2
47889 |