Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wb 105 w3a 978 wceq 1353 wcel 2148 crab 2459 class class class wbr 4003
(class class class)co 5874 cr 7809 cxr 7990 clt 7991 cioo 9887 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4121 ax-pow 4174 ax-pr 4209 ax-un 4433 ax-setind 4536 ax-cnex 7901 ax-resscn 7902 ax-pre-ltirr 7922 ax-pre-ltwlin 7923 ax-pre-lttrn 7924 |
This theorem depends on definitions:
df-bi 117 df-3or 979 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-nel 2443 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2739 df-sbc 2963 df-dif 3131 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-br 4004 df-opab 4065 df-id 4293 df-po 4296 df-iso 4297 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-iota 5178 df-fun 5218 df-fv 5224 df-ov 5877 df-oprab 5878 df-mpo 5879 df-pnf 7993 df-mnf 7994 df-xr 7995 df-ltxr 7996 df-le 7997 df-ioo 9891 |
This theorem is referenced by: eliooord
9927 elioopnf
9966 elioomnf
9967 dfrp2
10263 bl2ioo
14012 dedekindicc
14081 reeff1oleme
14163 reeff1o
14164 sin0pilem2
14173 pilem3
14174 sincosq1sgn
14217 sincosq2sgn
14218 sincosq3sgn
14219 sincosq4sgn
14220 sinq12gt0
14221 cosq14gt0
14223 cosq23lt0
14224 coseq0q4123
14225 coseq00topi
14226 coseq0negpitopi
14227 sincos6thpi
14233 cosordlem
14240 cos02pilt1
14242 cos0pilt1
14243 ioocosf1o
14245 iooref1o
14752 taupi
14790 |