Colors of
variables: wff
setvar class |
Syntax hints: class class
class wbr 5110 1c1 11059
≤ cle 11197 2c2 12215 |
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 2708 ax-sep 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 ax-resscn 11115 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-addrcl 11119 ax-mulcl 11120 ax-mulrcl 11121 ax-mulcom 11122 ax-addass 11123 ax-mulass 11124 ax-distr 11125 ax-i2m1 11126 ax-1ne0 11127 ax-1rid 11128 ax-rnegex 11129 ax-rrecex 11130 ax-cnre 11131 ax-pre-lttri 11132 ax-pre-lttrn 11133 ax-pre-ltadd 11134 ax-pre-mulgt0 11135 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-reu 3357 df-rab 3411 df-v 3450 df-sbc 3745 df-csb 3861 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-mpt 5194 df-id 5536 df-po 5550 df-so 5551 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-iota 6453 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-fv 6509 df-riota 7318 df-ov 7365 df-oprab 7366 df-mpo 7367 df-er 8655 df-en 8891 df-dom 8892 df-sdom 8893 df-pnf 11198 df-mnf 11199 df-xr 11200 df-ltxr 11201 df-le 11202 df-sub 11394 df-neg 11395 df-2 12223 |
This theorem is referenced by: eluz2nn
12816 2eluzge1
12826 faclbnd4lem1
14200 wrdl2exs2
14842 climcndslem1
15741 climcndslem2
15742 ef01bndlem
16073 bitsmod
16323 abvtrivd
20315 aaliou3lem2
25719 aaliou3lem8
25721 cos0pilt1
25904 bcmono
26641 gausslemma2dlem0c
26722 gausslemma2dlem1a
26729 chpchtlim
26843 pntibndlem3
26956 axlowdimlem3
27935 axlowdimlem6
27938 axlowdimlem16
27948 axlowdimlem17
27949 usgr2pthlem
28753 wwlksm1edg
28868 clwlkclwwlklem2fv1
28981 lmat22e12
32440 lmat22e21
32441 nexple
32648 ballotlem2
33128 signstfveq0
33229 aks4d1p1p4
40557 aks4d1p1
40562 2np3bcnp1
40581 2ap1caineq
40582 lhe4.4ex1a
42683 salexct3
44657 salgencntex
44658 salgensscntex
44659 p1lep2
45606 fmtnoge3
45796 2pwp1prm
45855 ackval42
46856 |