Colors of
variables: wff
setvar class |
Syntax hints: e. wcel 1818 2 c2 10610
crp 11249 |
This theorem is referenced by: rphalfcl
11273 flhalf
11962 discr
12303 abstri
13163 bitsfzolem
14084 bitsfzo
14085 bitsmod
14086 bitsinv1
14092 sadasslem
14120 sadeq
14122 prmreclem6
14439 2expltfac
14577 psgnunilem4
16522 efgsfo
16757 efgredlemd
16762 efgredlem
16765 chfacfscmul0
19359 chfacfpmmul0
19363 psmetge0
20816 xmetge0
20847 metnrmlem3
21365 pcoass
21524 aaliou3lem1
22738 aaliou3lem2
22739 aaliou3lem3
22740 aaliou3lem8
22741 aaliou3lem5
22743 aaliou3lem6
22744 aaliou3lem7
22745 aaliou3lem9
22746 loglesqrt
23132 log2cnv
23275 log2ub
23280 birthday
23284 cxp2limlem
23305 divsqrtsumlem
23309 emcllem7
23331 emre
23335 emgt0
23336 harmonicbnd3
23337 cht2
23446 cht3
23447 chtub
23487 bclbnd
23555 bposlem6
23564 bposlem7
23565 bposlem8
23566 bposlem9
23567 chebbnd1lem2
23655 chebbnd1lem3
23656 chebbnd1
23657 chto1ub
23661 chpo1ubb
23666 rplogsumlem1
23669 selbergb
23734 selberg2b
23737 chpdifbndlem2
23739 pntrsumbnd2
23752 pntrlog2bndlem4
23765 pntrlog2bndlem5
23766 pntrlog2bndlem6
23768 pntrlog2bnd
23769 pntpbnd1a
23770 pntpbnd1
23771 pntpbnd2
23772 pntpbnd
23773 pntibndlem2
23776 pntibndlem3
23777 pntibnd
23778 pntlemr
23787 nmcexi
26945 sqsscirc1
27890 log2le1
28023 dya2ub
28241 dya2iocress
28245 dya2iocbrsiga
28246 dya2icobrsiga
28247 dya2icoseg
28248 sxbrsigalem2
28257 fiblem
28337 fibp1
28340 coinflipprob
28418 signstfveq0
28534 zetacvg
28557 lgamgulmlem2
28572 lgamgulmlem3
28573 lgamucov
28580 logi
29121 itg2addnclem
30066 ftc1anclem7
30096 ftc1anc
30098 isbnd2
30279 proot1ex
31161 oddfl
31459 sumnnodd
31636 wallispilem3
31849 wallispilem4
31850 wallispi
31852 wallispi2lem1
31853 stirlinglem2
31857 stirlinglem3
31858 stirlinglem4
31859 stirlinglem5
31860 stirlinglem6
31861 stirlinglem7
31862 stirlinglem10
31865 stirlinglem11
31866 stirlinglem13
31868 stirlinglem14
31869 stirlinglem15
31870 stirlingr
31872 dirker2re
31874 dirkerdenne0
31875 dirkerper
31878 dirkertrigeqlem1
31880 dirkertrigeqlem3
31882 dirkertrigeq
31883 dirkercncflem1
31885 dirkercncflem2
31886 dirkercncflem4
31888 fourierdlem10
31899 fourierdlem24
31913 fourierdlem62
31951 fourierdlem79
31968 fourierdlem87
31976 sqwvfoura
32011 sqwvfourb
32012 taupilem1
37696 taupilem2
37697 taupi
37698 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704
ax-6 1747 ax-7 1790 ax-8 1820
ax-9 1822 ax-10 1837 ax-11 1842 ax-12 1854 ax-13 1999 ax-ext 2435 ax-sep 4573 ax-nul 4581 ax-pow 4630 ax-pr 4691 ax-un 6592 ax-resscn 9570 ax-1cn 9571 ax-icn 9572 ax-addcl 9573 ax-addrcl 9574 ax-mulcl 9575 ax-mulrcl 9576 ax-mulcom 9577 ax-addass 9578 ax-mulass 9579 ax-distr 9580 ax-i2m1 9581 ax-1ne0 9582 ax-1rid 9583 ax-rnegex 9584 ax-rrecex 9585 ax-cnre 9586 ax-pre-lttri 9587 ax-pre-lttrn 9588 ax-pre-ltadd 9589 ax-pre-mulgt0 9590 |
This theorem depends on definitions:
df-bi 185 df-or 370
df-an 371 df-3or 974 df-3an 975 df-tru 1398 df-ex 1613 df-nf 1617 df-sb 1740 df-eu 2286 df-mo 2287 df-clab 2443 df-cleq 2449 df-clel 2452 df-nfc 2607 df-ne 2654 df-nel 2655 df-ral 2812 df-rex 2813 df-reu 2814 df-rab 2816 df-v 3111 df-sbc 3328 df-csb 3435 df-dif 3478 df-un 3480 df-in 3482 df-ss 3489 df-nul 3785 df-if 3942 df-pw 4014 df-sn 4030 df-pr 4032 df-op 4036 df-uni 4250 df-br 4453 df-opab 4511 df-mpt 4512 df-id 4800 df-po 4805 df-so 4806 df-xp 5010 df-rel 5011 df-cnv 5012 df-co 5013 df-dm 5014 df-rn 5015 df-res 5016 df-ima 5017 df-iota 5556 df-fun 5595 df-fn 5596 df-f 5597 df-f1 5598 df-fo 5599 df-f1o 5600 df-fv 5601 df-riota 6257 df-ov 6299 df-oprab 6300 df-mpt2 6301 df-er 7330 df-en 7537 df-dom 7538 df-sdom 7539 df-pnf 9651 df-mnf 9652 df-xr 9653 df-ltxr 9654 df-le 9655 df-sub 9830 df-neg 9831 df-2 10619 df-rp 11250 |