Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1534 ∈ wcel 2099
(class class class)co 7414 ℂcc 11130
0cc0 11132 − cmin 11468
-cneg 11469 |
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 2167 ax-ext 2699 ax-sep 5293 ax-nul 5300 ax-pow 5359 ax-pr 5423 ax-un 7734 ax-resscn 11189 ax-1cn 11190 ax-icn 11191 ax-addcl 11192 ax-addrcl 11193 ax-mulcl 11194 ax-mulrcl 11195 ax-mulcom 11196 ax-addass 11197 ax-mulass 11198 ax-distr 11199 ax-i2m1 11200 ax-1ne0 11201 ax-1rid 11202 ax-rnegex 11203 ax-rrecex 11204 ax-cnre 11205 ax-pre-lttri 11206 ax-pre-lttrn 11207 ax-pre-ltadd 11208 |
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 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2937 df-nel 3043 df-ral 3058 df-rex 3067 df-reu 3373 df-rab 3429 df-v 3472 df-sbc 3776 df-csb 3891 df-dif 3948 df-un 3950 df-in 3952 df-ss 3962 df-nul 4319 df-if 4525 df-pw 4600 df-sn 4625 df-pr 4627 df-op 4631 df-uni 4904 df-br 5143 df-opab 5205 df-mpt 5226 df-id 5570 df-po 5584 df-so 5585 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-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-riota 7370 df-ov 7417 df-oprab 7418 df-mpo 7419 df-er 8718 df-en 8958 df-dom 8959 df-sdom 8960 df-pnf 11274 df-mnf 11275 df-ltxr 11277 df-sub 11470 df-neg 11471 |
This theorem is referenced by: negeq0
11538 lt0neg1
11744 lt0neg2
11745 le0neg1
11746 le0neg2
11747 neg1lt0
12353 elznn0
12597 znegcl
12621 xneg0
13217 expneg
14060 sqeqd
15139 sqrmo
15224 0risefac
16008 sin0
16119 m1bits
16408 lcmneg
16567 pcneg
16836 mulgneg
19040 mulgneg2
19056 pzriprnglem4
21403 iblrelem
25713 itgrevallem1
25717 ditg0
25775 ditgneg
25779 logtayl
26587 dcubic2
26769 atan0
26833 atancj
26835 ppiub
27130 lgsneg1
27248 rpvmasum2
27438 ostth3
27564 divnumden2
32575 archirngz
32891 ccfldextdgrr
33350 xrge0iif1
33533 fsum2dsub
34233 bj-pinftyccb
36694 bj-minftyccb
36698 itgaddnclem2
37146 ftc1anclem5
37164 areacirc
37180 monotoddzzfi
42357 acongeq
42398 sqwvfourb
45611 etransclem46
45662 sigariz
46245 sigarcol
46246 sigaradd
46248 |