Colors of
variables: wff
setvar class |
Syntax hints:
↔ wb 205 ∧ w3a 1088
∈ wcel 2107 class class class wbr 5109
(class class class)co 7361 ℝcr 11058
≤ cle 11198 [,]cicc 13276 |
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 5260 ax-nul 5267 ax-pow 5324 ax-pr 5388 ax-un 7676 ax-cnex 11115 ax-resscn 11116 ax-pre-lttri 11133 ax-pre-lttrn 11134 |
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 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-rab 3407 df-v 3449 df-sbc 3744 df-csb 3860 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-pw 4566 df-sn 4591 df-pr 4593 df-op 4597 df-uni 4870 df-br 5110 df-opab 5172 df-mpt 5193 df-id 5535 df-po 5549 df-so 5550 df-xp 5643 df-rel 5644 df-cnv 5645 df-co 5646 df-dm 5647 df-rn 5648 df-res 5649 df-ima 5650 df-iota 6452 df-fun 6502 df-fn 6503 df-f 6504 df-f1 6505 df-fo 6506 df-f1o 6507 df-fv 6508 df-ov 7364 df-oprab 7365 df-mpo 7366 df-er 8654 df-en 8890 df-dom 8891 df-sdom 8892 df-pnf 11199 df-mnf 11200 df-xr 11201 df-ltxr 11202 df-le 11203 df-icc 13280 |
This theorem is referenced by: elicc01
13392 sinbnd2
16072 cosbnd2
16073 iihalf1
24317 iihalf2
24319 elii1
24321 elii2
24322 xrhmeo
24332 oprpiece1res2
24338 pco0
24400 pcoval2
24402 pcoass
24410 vitalilem2
24996 vitali
25000 coseq00topi
25882 coseq0negpitopi
25883 sinq12ge0
25888 cosq14ge0
25891 cosordlem
25909 cosord
25910 cos11
25912 sinord
25913 recosf1o
25914 resinf1o
25915 efif1olem3
25923 argregt0
25988 argrege0
25989 argimgt0
25990 logimul
25992 cxpsqrtlem
26080 acosbnd
26273 log2ub
26322 emcllem7
26374 emgt0
26379 harmonicbnd3
26380 harmoniclbnd
26381 harmonicubnd
26382 harmonicbnd4
26383 logdivbnd
26927 pntpbnd2
26958 sin2h
36118 cos2h
36119 lhe4.4ex1a
42701 fourierdlem40
44478 fourierdlem62
44499 fourierdlem78
44515 fourierdlem111
44548 sqwvfoura
44559 sqwvfourb
44560 |