Colors of
variables: wff set class |
Syntax hints:
→ wi 4 ∈ wcel 2146
class class class wbr 3998 (class class class)co 5865
ℝcr 7785 1c1 7787
+ caddc 7789 ≤
cle 7967 |
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 1445 ax-7 1446 ax-gen 1447 ax-ie1 1491 ax-ie2 1492 ax-8 1502 ax-10 1503 ax-11 1504 ax-i12 1505 ax-bndl 1507 ax-4 1508 ax-17 1524 ax-i9 1528 ax-ial 1532 ax-i5r 1533 ax-13 2148 ax-14 2149 ax-ext 2157 ax-sep 4116 ax-pow 4169 ax-pr 4203 ax-un 4427 ax-setind 4530 ax-cnex 7877 ax-resscn 7878 ax-1cn 7879 ax-1re 7880 ax-icn 7881 ax-addcl 7882 ax-addrcl 7883 ax-mulcl 7884 ax-addcom 7886 ax-addass 7888 ax-i2m1 7891 ax-0lt1 7892 ax-0id 7894 ax-rnegex 7895 ax-pre-ltirr 7898 ax-pre-lttrn 7900 ax-pre-ltadd 7902 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1459 df-sb 1761 df-eu 2027 df-mo 2028 df-clab 2162 df-cleq 2168 df-clel 2171 df-nfc 2306 df-ne 2346 df-nel 2441 df-ral 2458 df-rex 2459 df-rab 2462 df-v 2737 df-dif 3129 df-un 3131 df-in 3133 df-ss 3140 df-pw 3574 df-sn 3595 df-pr 3596 df-op 3598 df-uni 3806 df-br 3999 df-opab 4060 df-xp 4626 df-cnv 4628 df-iota 5170 df-fv 5216 df-ov 5868 df-pnf 7968 df-mnf 7969 df-xr 7970 df-ltxr 7971 df-le 7972 |
This theorem is referenced by: fzossfzop1
10180 modqltm1p1mod
10344 seq3split
10447 seq3f1olemqsumkj
10466 seq3f1olemqsumk
10467 facubnd
10691 mulcn2
11287 expcnvap0
11477 cvgratnnlemabsle
11502 cvgratnnlemrate
11505 suprzubdc
11919 prmfac1
12118 ennnfonelemkh
12379 |