| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2099 ‘cfv 6542
ℝ*cxr 11269
≤ cle 11271 ordTopcordt 17472 TosetRel ctsr 18548
TopOnctopon 22799 |
| 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 2164 ax-ext 2698 ax-sep 5293 ax-nul 5300 ax-pow 5359 ax-pr 5423 ax-un 7734 ax-cnex 11186 ax-resscn 11187 ax-pre-lttri 11204 ax-pre-lttrn 11205 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2529 df-eu 2558 df-clab 2705 df-cleq 2719 df-clel 2805 df-nfc 2880 df-ne 2936 df-nel 3042 df-ral 3057 df-rex 3066 df-reu 3372 df-rab 3428 df-v 3471 df-sbc 3775 df-csb 3890 df-dif 3947 df-un 3949 df-in 3951 df-ss 3961 df-pss 3963 df-nul 4319 df-if 4525 df-pw 4600 df-sn 4625 df-pr 4627 df-op 4631 df-uni 4904 df-int 4945 df-br 5143 df-opab 5205 df-mpt 5226 df-tr 5260 df-id 5570 df-eprel 5576 df-po 5584 df-so 5585 df-fr 5627 df-we 5629 df-xp 5678 df-rel 5679 df-cnv 5680 df-co 5681 df-dm 5682 df-rn 5683 df-res 5684 df-ima 5685 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 7865 df-1o 8480 df-er 8718 df-en 8956 df-dom 8957 df-sdom 8958 df-fin 8959 df-fi 9426 df-pnf 11272 df-mnf 11273 df-xr 11274 df-ltxr 11275 df-le 11276 df-topgen 17416 df-ordt 17474 df-ps 18549 df-tsr 18550 df-top 22783 df-topon 22800 df-bases 22836 |
| This theorem is referenced by: letop
23097 letopuni
23098 xrstopn
23099 xrstps
23100 xmetdcn
24741 metdcn2
24742 xrlimcnp
26887 xrge0pluscn
33477 xrge0mulc1cn
33478 lmlimxrge0
33485 pnfneige0
33488 lmxrge0
33489 esumcvg
33641 xlimres
45132 xlimcl
45133 xlimconst
45136 xlimbr
45138 xlimmnfvlem1
45143 xlimmnfvlem2
45144 xlimpnfvlem1
45147 xlimpnfvlem2
45148 |
