| Colors of
variables: wff set class |
| Syntax hints:
→ wi 4 ∈ wcel 2160
class class class wbr 4018 (class class class)co 5891
ℝcr 7828 + caddc 7832 < clt 8010 |
| 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-sep 4136 ax-pow 4189 ax-pr 4224 ax-un 4448 ax-setind 4551 ax-cnex 7920 ax-resscn 7921 ax-1cn 7922 ax-icn 7924 ax-addcl 7925 ax-addrcl 7926 ax-mulcl 7927 ax-addcom 7929 ax-addass 7931 ax-i2m1 7934 ax-0id 7937 ax-rnegex 7938 ax-pre-ltadd 7945 |
| 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-nel 2456 df-ral 2473 df-rex 2474 df-rab 2477 df-v 2754 df-dif 3146 df-un 3148 df-in 3150 df-ss 3157 df-pw 3592 df-sn 3613 df-pr 3614 df-op 3616 df-uni 3825 df-br 4019 df-opab 4080 df-xp 4647 df-iota 5193 df-fv 5239 df-ov 5894 df-pnf 8012 df-mnf 8013 df-ltxr 8015 |
| This theorem is referenced by: zltaddlt1le
10025 rebtwn2zlemstep
10271 rebtwn2z
10273 2tnp1ge0ge0
10319 cvg1nlemcau
11011 resqrexlemdec
11038 cos12dec
11793 eirraplem
11802 ivthinclemlopn
14511 cosq23lt0
14651 cosordlem
14667 |
