Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∈ wcel 2107 ⊆
wss 3915 class class class wbr 5110
(class class class)co 7362 ℝ*cxr 11195 <
clt 11196 ≤ cle 11197
(,)cioo 13271 |
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 2708 ax-sep 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 ax-cnex 11114 ax-resscn 11115 ax-pre-lttri 11132 ax-pre-lttrn 11133 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-rab 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-iun 4961 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-po 5550 df-so 5551 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-ov 7365 df-oprab 7366 df-mpo 7367 df-1st 7926 df-2nd 7927 df-er 8655 df-en 8891 df-dom 8892 df-sdom 8893 df-pnf 11198 df-mnf 11199 df-xr 11200 df-ltxr 11201 df-le 11202 df-ioo 13275 |
This theorem is referenced by: ioodisj
13406 tgqioo
24179 ioorcl2
24952 itg2gt0
25141 itgsplitioo
25218 ditgcl
25238 ditgswap
25239 ditgsplitlem
25240 dvferm1lem
25364 dvferm
25368 dvlip
25373 dvgt0lem1
25382 dvivthlem1
25388 lhop1lem
25393 lhop2
25395 dvcvx
25400 dvfsumle
25401 dvfsumge
25402 dvfsumabs
25403 ftc1lem1
25415 ftc1a
25417 ftc1lem4
25419 ftc2ditglem
25425 tanregt0
25911 basellem4
26449 pntlemp
26974 radcnvrat
42668 limcresiooub
43957 fourierdlem46
44467 fourierdlem48
44469 fourierdlem49
44470 fourierdlem74
44495 fourierdlem104
44525 fourierdlem113
44534 fouriersw
44546 |