| Colors of
variables: wff
setvar class |
Syntax hints: ->wi 4 e.wcel 1818
(class class class)co 6296 cc 9511 2c2 10610 cexp 12166 |
| This theorem is referenced by: recval
13155 arisum2
13672 efi4p
13872 sincossq
13911 cos2t
13913 cos2tsin
13914 sqr2irrlem
13981 pythagtriplem1
14340 pythagtriplem2
14341 pythagtriplem6
14345 pythagtriplem7
14346 pythagtriplem12
14350 pythagtriplem14
14352 4sqlem7
14462 4sqlem10
14465 4sqlem14
14476 csbren
21826 rrxmval
21832 rrxmetlem
21834 dveflem
22380 coskpi
22913 coseq1
22915 tanregt0
22926 efif1olem4
22932 tanarg
23004 lawcoslem1
23147 lawcos
23148 pythag
23149 ssscongptld
23156 chordthmlem3
23165 chordthmlem4
23166 chordthmlem5
23167 heron
23169 quad2
23170 quad
23171 dcubic1lem
23174 dcubic2
23175 dcubic1
23176 dcubic
23177 mcubic
23178 cubic2
23179 cubic
23180 binom4
23181 dquartlem1
23182 dquartlem2
23183 dquart
23184 quart1cl
23185 quart1lem
23186 quart1
23187 quartlem1
23188 quartlem2
23189 quartlem4
23191 quart
23192 asinlem3
23202 asinneg
23217 asinsin
23223 atandmcj
23240 efiatan2
23248 atandmtan
23251 cosatan
23252 cosatanne0
23253 dvatan
23266 cxp2limlem
23305 basellem8
23361 lgsdir
23605 2sqlem4
23642 2sqlem11
23650 mulog2sumlem2
23720 mulog2sumlem3
23721 logsqvma
23727 selberglem1
23730 selberglem3
23732 selberg
23733 logdivbnd
23741 pntlemf
23790 pntlemk
23791 pntlemo
23792 ax5seglem1
24231 ax5seglem2
24232 ax5seglem6
24237 ax5seglem9
24240 axlowdimlem16
24260 axlowdimlem17
24261 4ipval2
25618 ipidsq
25623 cncph
25734 hhph
26095 eigvalcl
26880 bhmafibid2
27633 2sqn0
27634 2sqmod
27636 lgamgulmlem4
28574 fsumcube
29822 sin2h
30045 cos2h
30046 tan2h
30047 dvtan
30065 dvasin
30103 dvacos
30104 areacirclem1
30107 areacirclem2
30108 areacirclem4
30110 areacirc
30112 ismrer1
30334 pellexlem1
30765 pellexlem2
30766 pellexlem6
30770 pell1qrge1
30806 pell1qrgaplem
30809 rmspecsqrtnq
30842 rmxdbl
30875 jm2.18
30930 jm2.19lem1
30931 jm2.25
30941 jm2.27c
30949 dvrecg
31707 dvmptdiv
31714 dvdivf
31719 dvdivbd
31720 itgsinexplem1
31752 itgsinexp
31753 wallispi2lem1
31853 wallispi2lem2
31854 wallispi2
31855 stirlinglem1
31856 stirlinglem3
31858 stirlinglem8
31863 stirlinglem10
31865 stirlinglem15
31870 onetansqsecsq
33155 cotsqcscsq
33156 |
| 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-cnex 9569 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-pss 3491 df-nul 3785 df-if 3942 df-pw 4014 df-sn 4030 df-pr 4032 df-tp 4034 df-op 4036 df-uni 4250 df-iun 4332 df-br 4453 df-opab 4511 df-mpt 4512 df-tr 4546 df-eprel 4796 df-id 4800 df-po 4805 df-so 4806 df-fr 4843 df-we 4845 df-ord 4886 df-on 4887 df-lim 4888 df-suc 4889 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-om 6701 df-2nd 6801 df-recs 7061 df-rdg 7095 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-nn 10562 df-2 10619
df-n0 10821 df-z 10890
df-uz 11111 df-seq 12108 df-exp 12167 |
