Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ w3a 1085 ∈
wcel 2099 class class class wbr 5148
(class class class)co 7420 ℝ*cxr 11278 <
clt 11279 ≤ cle 11280
(,]cioc 13358 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pr 5429 ax-un 7740 ax-cnex 11195 ax-resscn 11196 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-sbc 3777 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-id 5576 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-iota 6500 df-fun 6550 df-fv 6556 df-ov 7423 df-oprab 7424 df-mpo 7425 df-xr 11283 df-ioc 13362 |
This theorem is referenced by: iocopn
44905 eliccelioc
44906 iccdificc
44924 ressiocsup
44939 iooiinioc
44941 preimaiocmnf
44946 xlimpnfvlem2
45225 ioccncflimc
45273 fourierdlem41
45536 fourierdlem46
45540 fourierdlem48
45542 fourierdlem49
45543 fourierdlem51
45545 fourierswlem
45618 smfsuplem1
46199 |