Colors of
variables: wff
setvar class |
Syntax hints:
↔ wb 205 ∧ w3a 1087
∈ wcel 2106 class class class wbr 5148
(class class class)co 7408 ℝcr 11108
≤ cle 11248 [,]cicc 13326 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7724 ax-cnex 11165 ax-resscn 11166 ax-pre-lttri 11183 ax-pre-lttrn 11184 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 df-ne 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5574 df-po 5588 df-so 5589 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-ov 7411 df-oprab 7412 df-mpo 7413 df-er 8702 df-en 8939 df-dom 8940 df-sdom 8941 df-pnf 11249 df-mnf 11250 df-xr 11251 df-ltxr 11252 df-le 11253 df-icc 13330 |
This theorem is referenced by: elicc01
13442 sinbnd2
16124 cosbnd2
16125 iihalf1
24446 iihalf2
24448 elii1
24450 elii2
24451 xrhmeo
24461 oprpiece1res2
24467 pco0
24529 pcoval2
24531 pcoass
24539 vitalilem2
25125 vitali
25129 coseq00topi
26011 coseq0negpitopi
26012 sinq12ge0
26017 cosq14ge0
26020 cosordlem
26038 cosord
26039 cos11
26041 sinord
26042 recosf1o
26043 resinf1o
26044 efif1olem3
26052 argregt0
26117 argrege0
26118 argimgt0
26119 logimul
26121 cxpsqrtlem
26209 acosbnd
26402 log2ub
26451 emcllem7
26503 emgt0
26508 harmonicbnd3
26509 harmoniclbnd
26510 harmonicubnd
26511 harmonicbnd4
26512 logdivbnd
27056 pntpbnd2
27087 sin2h
36473 cos2h
36474 lhe4.4ex1a
43078 fourierdlem40
44853 fourierdlem62
44874 fourierdlem78
44890 fourierdlem111
44923 sqwvfoura
44934 sqwvfourb
44935 |