Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∈ wcel 2107 class class class wbr 5106
(class class class)co 7358 ℝcr 11051
0cc0 11052 < clt 11190
≤ cle 11191 / cdiv 11813
ℝ+crp 12916 |
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 2708 ax-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-resscn 11109 ax-1cn 11110 ax-icn 11111 ax-addcl 11112 ax-addrcl 11113 ax-mulcl 11114 ax-mulrcl 11115 ax-mulcom 11116 ax-addass 11117 ax-mulass 11118 ax-distr 11119 ax-i2m1 11120 ax-1ne0 11121 ax-1rid 11122 ax-rnegex 11123 ax-rrecex 11124 ax-cnre 11125 ax-pre-lttri 11126 ax-pre-lttrn 11127 ax-pre-ltadd 11128 ax-pre-mulgt0 11129 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-rmo 3354 df-reu 3355 df-rab 3409 df-v 3448 df-sbc 3741 df-csb 3857 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-po 5546 df-so 5547 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-riota 7314 df-ov 7361 df-oprab 7362 df-mpo 7363 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 df-le 11196 df-sub 11388 df-neg 11389 df-div 11814 df-rp 12917 |
This theorem is referenced by: iseralt
15570 nn0ehalf
16261 nn0oddm1d2
16268 bitsfzo
16316 bitsmod
16317 iserodd
16708 icopnfcnv
24308 logdiflbnd
26347 lgamgulmlem3
26383 chpo1ubb
26832 vmadivsumb
26834 rpvmasumlem
26838 dchrisumlem1
26840 dchrvmasumlem2
26849 rplogsum
26878 dirith2
26879 mulog2sumlem2
26886 vmalogdivsum2
26889 2vmadivsumlem
26891 selbergb
26900 selberg2b
26903 selberg4lem1
26911 pntrlog2bndlem2
26929 pntrlog2bndlem4
26931 pntrlog2bndlem5
26932 pntrlog2bndlem6
26934 pntrlog2bnd
26935 pntibndlem2
26942 ttgcontlem1
27836 sqsscirc1
32492 faclimlem1
34319 knoppndvlem14
34991 itg2addnclem2
36133 geomcau
36221 3lexlogpow5ineq2
40515 aks4d1p1p7
40534 areaquad
41553 sqrtcvallem2
41916 sqrtcvallem4
41918 stirlinglem11
44332 stirlinglem12
44333 fourierdlem26
44381 fourierdlem30
44385 fourierdlem47
44401 sge0ad2en
44679 eenglngeehlnmlem2
46831 |