Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ w3a 1084 ∈
wcel 2098 class class class wbr 5139
(class class class)co 7402 ℝ*cxr 11246 <
clt 11247 ≤ cle 11248
(,]cioc 13326 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2695 ax-sep 5290 ax-nul 5297 ax-pr 5418 ax-un 7719 ax-cnex 11163 ax-resscn 11164 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ral 3054 df-rex 3063 df-rab 3425 df-v 3468 df-sbc 3771 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-nul 4316 df-if 4522 df-sn 4622 df-pr 4624 df-op 4628 df-uni 4901 df-br 5140 df-opab 5202 df-id 5565 df-xp 5673 df-rel 5674 df-cnv 5675 df-co 5676 df-dm 5677 df-iota 6486 df-fun 6536 df-fv 6542 df-ov 7405 df-oprab 7406 df-mpo 7407 df-xr 11251 df-ioc 13330 |
This theorem is referenced by: iocopn
44779 eliccelioc
44780 iccdificc
44798 ressiocsup
44813 iooiinioc
44815 preimaiocmnf
44820 xlimpnfvlem2
45099 ioccncflimc
45147 fourierdlem41
45410 fourierdlem46
45414 fourierdlem48
45416 fourierdlem49
45417 fourierdlem51
45419 fourierswlem
45492 smfsuplem1
46073 |