Colors of
variables: wff set class |
Syntax hints: ¬ wn 3 → wi 4
∈ wcel 2148 class class class wbr 4004
ℝcr 7810 <
clt 7992 ≤ cle 7993 |
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 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 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-ral 2460 df-rex 2461 df-v 2740 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-br 4005 df-opab 4066 df-xp 4633 df-cnv 4635 df-xr 7996 df-le 7998 |
This theorem is referenced by: ltntri
8085 suprubex
8908 infregelbex
9598 cvgratz
11540 zsupcl
11948 zssinfcl
11949 infssuzledc
11951 dvdslegcd
11965 pw2dvdseulemle
12167 dedekindeulemuub
14098 dedekindeulemlu
14102 suplociccex
14106 dedekindicclemuub
14107 dedekindicclemlu
14111 ivthinclemlopn
14117 ivthinclemuopn
14119 refeq
14779 |