| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2107 ‘cfv 6544
ℝ*cxr 11247
≤ cle 11249 ordTopcordt 17445 TosetRel ctsr 18518
TopOnctopon 22412 |
| 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 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-cnex 11166 ax-resscn 11167 ax-pre-lttri 11184 ax-pre-lttrn 11185 |
| 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 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-nel 3048 df-ral 3063 df-rex 3072 df-reu 3378 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-pss 3968 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-int 4952 df-br 5150 df-opab 5212 df-mpt 5233 df-tr 5267 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 6368 df-on 6369 df-lim 6370 df-suc 6371 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-om 7856 df-1o 8466 df-er 8703 df-en 8940 df-dom 8941 df-sdom 8942 df-fin 8943 df-fi 9406 df-pnf 11250 df-mnf 11251 df-xr 11252 df-ltxr 11253 df-le 11254 df-topgen 17389 df-ordt 17447 df-ps 18519 df-tsr 18520 df-top 22396 df-topon 22413 df-bases 22449 |
| This theorem is referenced by: letop
22710 letopuni
22711 xrstopn
22712 xrstps
22713 xmetdcn
24354 metdcn2
24355 xrlimcnp
26473 xrge0pluscn
32920 xrge0mulc1cn
32921 lmlimxrge0
32928 pnfneige0
32931 lmxrge0
32932 esumcvg
33084 xlimres
44537 xlimcl
44538 xlimconst
44541 xlimbr
44543 xlimmnfvlem1
44548 xlimmnfvlem2
44549 xlimpnfvlem1
44552 xlimpnfvlem2
44553 |
