Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5149 ℝcr 11109
≤ cle 11249 ℝ+crp 12974 |
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-addrcl 11171 ax-rnegex 11181 ax-cnre 11183 ax-pre-lttri 11184 ax-pre-lttrn 11185 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 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-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-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-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-rp 12975 |
This theorem is referenced by: rlimno1
15600 isumrpcl
15789 divlogrlim
26143 logno1
26144 chprpcl
26710 vmadivsumb
26986 vmalogdivsum2
27041 vmalogdivsum
27042 2vmadivsumlem
27043 selbergb
27052 selberg2b
27055 selberg3lem2
27061 selberg3
27062 selberg4lem1
27063 selberg4
27064 selberg3r
27072 selberg4r
27073 selberg34r
27074 pntrlog2bndlem1
27080 pntrlog2bndlem2
27081 pntrlog2bndlem3
27082 pntrlog2bndlem4
27083 pntrlog2bndlem5
27084 pntrlog2bndlem6a
27085 pntrlog2bndlem6
27086 pntrlog2bnd
27087 pntibndlem2
27094 pntlemb
27100 |