Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 = wceq 1533
โ wcel 2098 (class class class)co 7405
โcc 11110 ยท
cmul 11117 -cneg 11449 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-sep 5292 ax-nul 5299 ax-pow 5356 ax-pr 5420 ax-un 7722 ax-resscn 11169 ax-1cn 11170 ax-icn 11171 ax-addcl 11172 ax-addrcl 11173 ax-mulcl 11174 ax-mulrcl 11175 ax-mulcom 11176 ax-addass 11177 ax-mulass 11178 ax-distr 11179 ax-i2m1 11180 ax-1ne0 11181 ax-1rid 11182 ax-rnegex 11183 ax-rrecex 11184 ax-cnre 11185 ax-pre-lttri 11186 ax-pre-lttrn 11187 ax-pre-ltadd 11188 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ne 2935 df-nel 3041 df-ral 3056 df-rex 3065 df-reu 3371 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-nul 4318 df-if 4524 df-pw 4599 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-br 5142 df-opab 5204 df-mpt 5225 df-id 5567 df-po 5581 df-so 5582 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-iota 6489 df-fun 6539 df-fn 6540 df-f 6541 df-f1 6542 df-fo 6543 df-f1o 6544 df-fv 6545 df-riota 7361 df-ov 7408 df-oprab 7409 df-mpo 7410 df-er 8705 df-en 8942 df-dom 8943 df-sdom 8944 df-pnf 11254 df-mnf 11255 df-ltxr 11257 df-sub 11450 df-neg 11451 |
This theorem is referenced by: divsubdiv
11934 recgt0
12064 xmulneg1
13254 expmulz
14079 discr1
14207 iseraltlem3
15636 incexclem
15788 incexc
15789 mulgass
19038 cphipval
25126 mbfmulc2lem
25531 mbfmulc2
25547 itg2monolem1
25635 itgmulc2
25718 dvrecg
25860 dvmptdiv
25861 dvexp3
25865 dvfsumlem2
25916 dvfsumlem2OLD
25917 aaliou3lem2
26233 advlogexp
26544 logtayl2
26551 dcubic2
26731 dcubic
26733 ftalem5
26964 lgsdilem
27212 2sqlem4
27309 pntrsumo1
27453 pntrlog2bndlem4
27468 brbtwn2
28671 colinearalglem4
28675 axeuclidlem
28728 logdivsqrle
34191 fwddifnp1
35670 itgmulc2nc
37069 lcmineqlem10
41419 3cubeslem3r
42000 pellexlem6
42147 jm2.19lem1
42303 jm2.19lem4
42306 jm2.19
42307 binomcxplemnotnn0
43688 sineq0ALT
44271 mulltgt0
44279 fperiodmul
44583 cosknegpi
45154 itgsinexplem1
45239 stoweidlem13
45298 stoweidlem42
45327 fourierdlem39
45431 fourierdlem41
45433 fourierdlem48
45439 fourierdlem49
45440 fourierdlem64
45455 etransclem46
45565 eenglngeehlnmlem1
47695 eenglngeehlnmlem2
47696 rrx2linest
47700 rrx2linest2
47702 line2
47710 itscnhlc0yqe
47717 itschlc0yqe
47718 itsclc0yqsol
47722 itsclinecirc0b
47732 itsclquadb
47734 |