Colors of
variables: wff
setvar class |
Syntax hints:
≠ wne 2938 0cc0 11112
1c1 11113 -cneg 11449 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 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 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-reu 3375 df-rab 3431 df-v 3474 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-br 5148 df-opab 5210 df-mpt 5231 df-id 5573 df-po 5587 df-so 5588 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 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 7367 df-ov 7414 df-oprab 7415 df-mpo 7416 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: m1expcl2
14055 m1expeven
14079 iseraltlem2
15633 iseraltlem3
15634 iseralt
15635 m1expo
16322 m1exp1
16323 psgnunilem4
19406 m1expaddsub
19407 psgnuni
19408 cnmsgnsubg
21349 cnmsgngrp
21351 psgninv
21354 iblcnlem1
25537 itgcnlem
25539 dgrsub
26022 coseq00topi
26248 logtayl2
26406 root1eq1
26499 root1cj
26500 cxpeq
26501 angneg
26544 ang180lem1
26550 1cubrlem
26582 atantayl2
26679 basellem2
26822 isnsqf
26875 dchrfi
26994 dchrptlem1
27003 dchrptlem2
27004 lgsne0
27074 lgseisenlem1
27114 lgseisenlem2
27115 lgseisenlem4
27117 lgseisen
27118 lgsquadlem1
27119 lgsquad2lem1
27123 lgsquad3
27126 m1lgs
27127 hvsubcan
30594 hvsubcan2
30595 superpos
31874 sgnnbi
33842 signswch
33870 signstfvcl
33882 fwddifnp1
35441 proot1ex
42245 m1expevenALTV
46613 m1expoddALTV
46614 |