Colors of
variables: wff set class |
Syntax hints:
→ wi 4 ∈ wcel 2148
≠ wne 2347 class class class wbr 4005
ℝcr 7812 0cc0 7813
< clt 7994 |
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 4123 ax-pow 4176 ax-pr 4211 ax-un 4435 ax-setind 4538 ax-cnex 7904 ax-resscn 7905 ax-1re 7907 ax-addrcl 7910 ax-rnegex 7922 ax-pre-ltirr 7925 |
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-nel 2443 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2741 df-dif 3133 df-un 3135 df-in 3137 df-ss 3144 df-pw 3579 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-br 4006 df-opab 4067 df-xp 4634 df-pnf 7996 df-mnf 7997 df-ltxr 7999 |
This theorem is referenced by: sup3exmid
8916 modqval
10326 modqvalr
10327 modqcl
10328 flqpmodeq
10329 modq0
10331 modqge0
10334 modqlt
10335 modqdiffl
10337 modqdifz
10338 modqvalp1
10345 modqid
10351 modqcyc
10361 modqadd1
10363 modqmuladd
10368 modqmuladdnn0
10370 modqmul1
10379 modqdi
10394 modqsubdir
10395 ennnfonelemp1
12409 |