Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1353
wcel 2148
wreu 2457
crio 5830
(class class class)co 5875 cc 7809 caddc 7814 cmin 8128 |
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-14 2151 ax-ext 2159 ax-sep 4122 ax-pow 4175 ax-pr 4210 ax-setind 4537 ax-resscn 7903 ax-1cn 7904 ax-icn 7906 ax-addcl 7907 ax-addrcl 7908 ax-mulcl 7909 ax-addcom 7911 ax-addass 7913 ax-distr 7915 ax-i2m1 7916 ax-0id 7919 ax-rnegex 7920 ax-cnre 7922 |
This theorem depends on definitions:
df-bi 117 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-ral 2460 df-rex 2461 df-reu 2462 df-rab 2464 df-v 2740 df-sbc 2964 df-dif 3132 df-un 3134 df-in 3136 df-ss 3143 df-pw 3578 df-sn 3599 df-pr 3600 df-op 3602 df-uni 3811 df-br 4005 df-opab 4066 df-id 4294 df-xp 4633 df-rel 4634 df-cnv 4635 df-co 4636 df-dm 4637 df-iota 5179 df-fun 5219 df-fv 5225 df-riota 5831 df-ov 5878 df-oprab 5879 df-mpo 5880 df-sub 8130 |
This theorem is referenced by: negcl
8157 subf
8159 pncan3
8165 npcan
8166 addsubass
8167 addsub
8168 addsub12
8170 addsubeq4
8172 npncan
8178 nppcan
8179 nnpcan
8180 nppcan3
8181 subcan2
8182 subsub2
8185 subsub4
8190 nnncan
8192 nnncan1
8193 nnncan2
8194 npncan3
8195 addsub4
8200 subadd4
8201 peano2cnm
8223 subcli
8233 subcld
8268 subeqrev
8333 subdi
8342 subdir
8343 mulsub2
8359 recextlem1
8608 recexap
8610 div2subap
8794 cju
8918 halfaddsubcl
9152 halfaddsub
9153 iccf1o
10004 ser3sub
10506 sqsubswap
10580 subsq
10627 subsq2
10628 bcn2
10744 shftval2
10835 2shfti
10840 sqabssub
11065 abssub
11110 abs3dif
11114 abs2dif
11115 abs2difabs
11117 climuni
11301 cjcn2
11324 recn2
11325 imcn2
11326 climsub
11336 fisum0diag2
11455 arisum2
11507 geosergap
11514 geolim
11519 geolim2
11520 georeclim
11521 geo2sum
11522 tanaddap
11747 addsin
11750 fzocongeq
11864 odd2np1
11878 phiprm
12223 pythagtriplem4
12268 pythagtriplem12
12275 pythagtriplem14
12277 fldivp1
12346 cnmet
14033 dveflem
14190 dvef
14191 efimpi
14243 ptolemy
14248 tangtx
14262 abssinper
14270 |