| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2098 ‘cfv 6547
ℝ*cxr 11277
≤ cle 11279 ordTopcordt 17480 TosetRel ctsr 18556
TopOnctopon 22842 |
| 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 2166 ax-ext 2696 ax-sep 5299 ax-nul 5306 ax-pow 5364 ax-pr 5428 ax-un 7739 ax-cnex 11194 ax-resscn 11195 ax-pre-lttri 11212 ax-pre-lttrn 11213 |
| This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2703 df-cleq 2717 df-clel 2802 df-nfc 2877 df-ne 2931 df-nel 3037 df-ral 3052 df-rex 3061 df-reu 3365 df-rab 3420 df-v 3465 df-sbc 3775 df-csb 3891 df-dif 3948 df-un 3950 df-in 3952 df-ss 3962 df-pss 3965 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-int 4950 df-br 5149 df-opab 5211 df-mpt 5232 df-tr 5266 df-id 5575 df-eprel 5581 df-po 5589 df-so 5590 df-fr 5632 df-we 5634 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-ord 6372 df-on 6373 df-lim 6374 df-suc 6375 df-iota 6499 df-fun 6549 df-fn 6550 df-f 6551 df-f1 6552 df-fo 6553 df-f1o 6554 df-fv 6555 df-om 7870 df-1o 8485 df-er 8723 df-en 8963 df-dom 8964 df-sdom 8965 df-fin 8966 df-fi 9434 df-pnf 11280 df-mnf 11281 df-xr 11282 df-ltxr 11283 df-le 11284 df-topgen 17424 df-ordt 17482 df-ps 18557 df-tsr 18558 df-top 22826 df-topon 22843 df-bases 22879 |
| This theorem is referenced by: letop
23140 letopuni
23141 xrstopn
23142 xrstps
23143 xmetdcn
24784 metdcn2
24785 xrlimcnp
26930 xrge0pluscn
33611 xrge0mulc1cn
33612 lmlimxrge0
33619 pnfneige0
33622 lmxrge0
33623 esumcvg
33775 xlimres
45272 xlimcl
45273 xlimconst
45276 xlimbr
45278 xlimmnfvlem1
45283 xlimmnfvlem2
45284 xlimpnfvlem1
45287 xlimpnfvlem2
45288 |
