Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1353
wcel 2148
(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: addsubass
8167 npncan
8178 nppcan
8179 nnpcan
8180 subcan2
8182 nnncan
8192 npcand
8272 nn1suc
8938 zlem1lt
9309 zltlem1
9310 peano5uzti
9361 nummac
9428 uzp1
9561 peano2uzr
9585 fz01en
10053 fzsuc2
10079 fseq1m1p1
10095 fzoss2
10172 fzoaddel2
10193 fzosplitsnm1
10209 fzosplitprm1
10234 modfzo0difsn
10395 seq3m1
10468 monoord2
10477 ser3mono
10478 expm1t
10548 expubnd
10577 bcm1k
10740 bcn2
10744 hashfzo
10802 seq3coll
10822 shftlem
10825 shftfvalg
10827 shftfval
10830 iserex
11347 serf0
11360 fsumm1
11424 mptfzshft
11450 binomlem
11491 binom1dif
11495 isumsplit
11499 dvdssub2
11842 |