Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∈ wcel 2107 ∀wral 3062 ∃wrex 3071
Vcvv 3475 class class class wbr 5149
‘cfv 6544 (class class class)co 7409
ℂcc 11108 <
clt 11248 − cmin 11444
ℤcz 12558 ℤ≥cuz 12822 ℝ+crp 12974 abscabs 15181
⇝ cli 15428 |
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-pr 5428 ax-cnex 11166 ax-resscn 11167 |
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-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-mpt 5233 df-id 5575 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-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-fv 6552 df-ov 7412 df-neg 11447 df-z 12559
df-uz 12823 df-clim 15432 |
This theorem is referenced by: rlimclim
15490 climrlim2
15491 climuni
15496 fclim
15497 climeu
15499 climreu
15500 2clim
15516 climcn1lem
15547 climadd
15576 climmul
15577 climsub
15578 climaddc2
15580 climcau
15617 clim2div
15835 ntrivcvgtail
15846 ntrivcvgmullem
15847 mbflim
25185 ulmcau
25907 emcllem6
26505 dchrmusum2
26997 dchrvmasumiflem1
27004 dchrvmasumiflem2
27005 dchrisum0lem1b
27018 dchrmusumlem
27025 iprodefisum
34711 climrec
44319 climexp
44321 climsuse
44324 climneg
44326 climdivf
44328 climleltrp
44392 climuzlem
44459 climxlim2lem
44561 climxlim2
44562 sge0isum
45143 |