Colors of
variables: wff
setvar class |
Syntax hints: = wceq 1395 { crab 2811
class class class wbr 4452 (class class class)co 6296
cr 9512 0 cc0 9513 cpnf 9646 clt 9649 crp 11249
cioo 11558 |
This theorem is referenced by: rpsup
11993 advlog
23035 advlogexp
23036 logccv
23044 cxpcn3
23122 loglesqrt
23132 rlimcnp
23295 rlimcnp2
23296 divsqrtsumlem
23309 amgmlem
23319 logfacbnd3
23498 logexprlim
23500 dchrisum0lem2a
23702 logdivsum
23718 log2sumbnd
23729 elxrge02
27628 xrge0iifcnv
27915 xrge0iifiso
27917 xrge0iifhom
27919 xrge0mulc1cn
27923 esumdivc
28089 signsply0
28508 itg2gt0cn
30070 dvasin
30103 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704
ax-6 1747 ax-7 1790 ax-8 1820
ax-9 1822 ax-10 1837 ax-11 1842 ax-12 1854 ax-13 1999 ax-ext 2435 ax-sep 4573 ax-nul 4581 ax-pow 4630 ax-pr 4691 ax-un 6592 ax-cnex 9569 ax-resscn 9570 ax-1cn 9571 ax-icn 9572 ax-addcl 9573 ax-addrcl 9574 ax-mulcl 9575 ax-mulrcl 9576 ax-i2m1 9581 ax-1ne0 9582 ax-rnegex 9584 ax-rrecex 9585 ax-cnre 9586 ax-pre-lttri 9587 ax-pre-lttrn 9588 |
This theorem depends on definitions:
df-bi 185 df-or 370
df-an 371 df-3or 974 df-3an 975 df-tru 1398 df-ex 1613 df-nf 1617 df-sb 1740 df-eu 2286 df-mo 2287 df-clab 2443 df-cleq 2449 df-clel 2452 df-nfc 2607 df-ne 2654 df-nel 2655 df-ral 2812 df-rex 2813 df-rab 2816 df-v 3111 df-sbc 3328 df-csb 3435 df-dif 3478 df-un 3480 df-in 3482 df-ss 3489 df-nul 3785 df-if 3942 df-pw 4014 df-sn 4030 df-pr 4032 df-op 4036 df-uni 4250 df-iun 4332 df-br 4453 df-opab 4511 df-mpt 4512 df-id 4800 df-po 4805 df-so 4806 df-xp 5010 df-rel 5011 df-cnv 5012 df-co 5013 df-dm 5014 df-rn 5015 df-res 5016 df-ima 5017 df-iota 5556 df-fun 5595 df-fn 5596 df-f 5597 df-f1 5598 df-fo 5599 df-f1o 5600 df-fv 5601 df-ov 6299 df-oprab 6300 df-mpt2 6301 df-1st 6800 df-2nd 6801 df-er 7330 df-en 7537 df-dom 7538 df-sdom 7539 df-pnf 9651 df-mnf 9652 df-xr 9653 df-ltxr 9654 df-le 9655 df-rp 11250 df-ioo 11562 |