Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1364
wcel 2160
cvv 2752
cmpt 4082 wfn 5233 cfv 5238 (class class class)co 5900
cmpo 5902
cec 6561
cbs 12524
s cimas 12788 s cqus 12789 |
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 615 ax-in2 616 ax-io 710
ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-13 2162 ax-14 2163 ax-ext 2171 ax-coll 4136 ax-sep 4139 ax-pow 4195 ax-pr 4230 ax-un 4454 ax-setind 4557 ax-cnex 7937 ax-resscn 7938 ax-1re 7940 ax-addrcl 7943 |
This theorem depends on definitions:
df-bi 117 df-3an 982 df-tru 1367 df-fal 1370 df-nf 1472 df-sb 1774 df-eu 2041 df-mo 2042 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-ne 2361 df-ral 2473 df-rex 2474 df-reu 2475 df-rab 2477 df-v 2754 df-sbc 2978 df-csb 3073 df-dif 3146 df-un 3148 df-in 3150 df-ss 3157 df-pw 3595 df-sn 3616 df-pr 3617 df-tp 3618 df-op 3619 df-uni 3828 df-int 3863 df-iun 3906 df-br 4022 df-opab 4083 df-mpt 4084 df-id 4314 df-xp 4653 df-rel 4654 df-cnv 4655 df-co 4656 df-dm 4657 df-rn 4658 df-res 4659 df-ima 4660 df-iota 5199 df-fun 5240 df-fn 5241 df-f 5242 df-f1 5243 df-fo 5244 df-f1o 5245 df-fv 5246 df-ov 5903 df-oprab 5904 df-mpo 5905 df-ec 6565 df-inn 8956 df-2 9014 df-3 9015
df-ndx 12527 df-slot 12528 df-base 12530 df-plusg 12614 df-mulr 12615 df-iimas 12791 df-qus 12792 |
This theorem is referenced by: qusin
12815 qusbas
12816 qusaddval
12823 qusaddf
12824 qusmulval
12825 qusmulf
12826 qusgrp2
13079 qusrng
13338 qusring2
13442 |