Colors of
variables: wff
setvar class |
Syntax hints:
↔ wb 205 ∧ w3a 1088
∈ wcel 2107 class class class wbr 5109
(class class class)co 7361 ℝcr 11058
0cc0 11059 1c1 11060
≤ cle 11198 [,]cicc 13276 |
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 2704 ax-sep 5260 ax-nul 5267 ax-pow 5324 ax-pr 5388 ax-un 7676 ax-cnex 11115 ax-resscn 11116 ax-1cn 11117 ax-icn 11118 ax-addcl 11119 ax-addrcl 11120 ax-mulcl 11121 ax-mulrcl 11122 ax-i2m1 11127 ax-1ne0 11128 ax-rnegex 11130 ax-rrecex 11131 ax-cnre 11132 ax-pre-lttri 11133 ax-pre-lttrn 11134 |
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 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2941 df-nel 3047 df-ral 3062 df-rex 3071 df-rab 3407 df-v 3449 df-sbc 3744 df-csb 3860 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-pw 4566 df-sn 4591 df-pr 4593 df-op 4597 df-uni 4870 df-br 5110 df-opab 5172 df-mpt 5193 df-id 5535 df-po 5549 df-so 5550 df-xp 5643 df-rel 5644 df-cnv 5645 df-co 5646 df-dm 5647 df-rn 5648 df-res 5649 df-ima 5650 df-iota 6452 df-fun 6502 df-fn 6503 df-f 6504 df-f1 6505 df-fo 6506 df-f1o 6507 df-fv 6508 df-ov 7364 df-oprab 7365 df-mpo 7366 df-er 8654 df-en 8890 df-dom 8891 df-sdom 8892 df-pnf 11199 df-mnf 11200 df-xr 11201 df-ltxr 11202 df-le 11203 df-icc 13280 |
This theorem is referenced by: elunitrn
13393 0elunit
13395 1elunit
13396 divelunit
13420 lincmb01cmp
13421 iccf1o
13422 rpnnen2lem12
16115 blcvx
24184 iirev
24315 iihalf2
24319 elii2
24322 iimulcl
24323 iccpnfhmeo
24331 xrhmeo
24332 lebnumii
24352 htpycc
24366 pcocn
24403 pcohtpylem
24405 pcopt
24408 pcopt2
24409 pcoass
24410 pcorevlem
24412 vitalilem2
24996 abelth2
25824 chordthmlem4
26208 leibpi
26315 jensenlem2
26360 lgamgulmlem2
26402 ttgcontlem1
27882 brbtwn2
27903 ax5seglem1
27926 ax5seglem2
27927 ax5seglem3
27929 ax5seglem5
27931 ax5seglem6
27932 ax5seglem9
27935 ax5seg
27936 axbtwnid
27937 axpaschlem
27938 axpasch
27939 axcontlem2
27963 axcontlem4
27965 axcontlem7
27968 stge0
31215 stle1
31216 strlem3a
31243 elunitge0
32544 unitdivcld
32546 xrge0iifiso
32580 xrge0iifhom
32582 resconn
33904 snmlff
33987 poimirlem29
36157 poimirlem30
36158 poimirlem31
36159 poimirlem32
36160 i0oii
47042 io1ii
47043 |