Colors of
variables: wff
setvar class |
Syntax hints:
↔ wb 205 ∧ w3a 1088
∈ wcel 2107 class class class wbr 5149
(class class class)co 7409 ℝcr 11109
≤ cle 11249 [,]cicc 13327 |
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-cnex 11166 ax-resscn 11167 ax-pre-lttri 11184 ax-pre-lttrn 11185 |
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-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-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-icc 13331 |
This theorem is referenced by: elicc01
13443 sinbnd2
16125 cosbnd2
16126 iihalf1
24447 iihalf2
24449 elii1
24451 elii2
24452 xrhmeo
24462 oprpiece1res2
24468 pco0
24530 pcoval2
24532 pcoass
24540 vitalilem2
25126 vitali
25130 coseq00topi
26012 coseq0negpitopi
26013 sinq12ge0
26018 cosq14ge0
26021 cosordlem
26039 cosord
26040 cos11
26042 sinord
26043 recosf1o
26044 resinf1o
26045 efif1olem3
26053 argregt0
26118 argrege0
26119 argimgt0
26120 logimul
26122 cxpsqrtlem
26210 acosbnd
26405 log2ub
26454 emcllem7
26506 emgt0
26511 harmonicbnd3
26512 harmoniclbnd
26513 harmonicubnd
26514 harmonicbnd4
26515 logdivbnd
27059 pntpbnd2
27090 sin2h
36526 cos2h
36527 lhe4.4ex1a
43136 fourierdlem40
44911 fourierdlem62
44932 fourierdlem78
44948 fourierdlem111
44981 sqwvfoura
44992 sqwvfourb
44993 |