| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2104 ‘cfv 6542
ℝ*cxr 11251
≤ cle 11253 ordTopcordt 17449 TosetRel ctsr 18522
TopOnctopon 22632 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 ax-cnex 11168 ax-resscn 11169 ax-pre-lttri 11186 ax-pre-lttrn 11187 |
| This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-reu 3375 df-rab 3431 df-v 3474 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-int 4950 df-br 5148 df-opab 5210 df-mpt 5231 df-tr 5265 df-id 5573 df-eprel 5579 df-po 5587 df-so 5588 df-fr 5630 df-we 5632 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-ord 6366 df-on 6367 df-lim 6368 df-suc 6369 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-om 7858 df-1o 8468 df-er 8705 df-en 8942 df-dom 8943 df-sdom 8944 df-fin 8945 df-fi 9408 df-pnf 11254 df-mnf 11255 df-xr 11256 df-ltxr 11257 df-le 11258 df-topgen 17393 df-ordt 17451 df-ps 18523 df-tsr 18524 df-top 22616 df-topon 22633 df-bases 22669 |
| This theorem is referenced by: letop
22930 letopuni
22931 xrstopn
22932 xrstps
22933 xmetdcn
24574 metdcn2
24575 xrlimcnp
26709 xrge0pluscn
33218 xrge0mulc1cn
33219 lmlimxrge0
33226 pnfneige0
33229 lmxrge0
33230 esumcvg
33382 xlimres
44835 xlimcl
44836 xlimconst
44839 xlimbr
44841 xlimmnfvlem1
44846 xlimmnfvlem2
44847 xlimpnfvlem1
44850 xlimpnfvlem2
44851 |
