Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 (class class class)co 7409
ℝcr 11109 1c1 11111
/ cdiv 11871 2c2 12267 |
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-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 |
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-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-po 5589 df-so 5590 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-riota 7365 df-ov 7412 df-oprab 7413 df-mpo 7414 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-sub 11446 df-neg 11447 df-div 11872 df-2 12275 |
This theorem is referenced by: halfge0
12429 2tnp1ge0ge0
13794 rddif
15287 absrdbnd
15288 geo2sum
15819 geo2lim
15821 geoihalfsum
15828 efcllem
16021 ege2le3
16033 rpnnen2lem12
16168 oddge22np1
16292 ltoddhalfle
16304 halfleoddlt
16305 bitsp1o
16374 prmreclem5
16853 prmreclem6
16854 iihalf1
24447 iihalf1cn
24448 iihalf2
24449 iihalf2cn
24450 elii1
24451 elii2
24452 htpycc
24496 pcoval1
24529 pco0
24530 pco1
24531 pcoval2
24532 pcocn
24533 pcohtpylem
24535 pcopt
24538 pcopt2
24539 pcoass
24540 pcorevlem
24542 iscmet3lem3
24807 mbfi1fseqlem6
25238 itg2monolem3
25270 aaliou3lem1
25855 aaliou3lem2
25856 aaliou3lem3
25857 cxpsqrtlem
26210 cxpsqrt
26211 logsqrt
26212 sqrt2cxp2logb9e3
26304 ang180lem1
26314 asinsin
26397 birthday
26459 gausslemma2dlem1a
26868 chebbnd1
26975 chtppilim
26978 mulog2sumlem2
27038 opsqrlem4
31396 logdivsqrle
33662 subfacval3
34180 gg-iihalf1cn
35167 gg-iihalf2cn
35168 dnicld1
35348 dnizeq0
35351 dnizphlfeqhlf
35352 rddif2
35353 dnibndlem2
35355 dnibndlem3
35356 dnibndlem4
35357 dnibndlem5
35358 dnibndlem6
35359 dnibndlem7
35360 dnibndlem8
35361 dnibndlem9
35362 dnibndlem10
35363 dnibndlem11
35364 dnibndlem12
35365 dnibndlem13
35366 dnibnd
35367 knoppcnlem4
35372 cnndvlem1
35413 iccioo01
36208 cntotbnd
36664 halffl
44006 stoweidlem5
44721 stoweidlem14
44730 stoweidlem28
44744 dirkertrigeqlem2
44815 dirkeritg
44818 dirkercncflem2
44820 fourierdlem18
44841 fourierdlem66
44888 fourierdlem78
44900 fourierdlem83
44905 fourierdlem87
44909 fourierdlem104
44926 zofldiv2ALTV
46330 zofldiv2
47217 sepfsepc
47560 |