| Colors of
variables: wff set class |
| Syntax hints:
→ wi 4 ∈ wcel 2158
class class class wbr 4015 (class class class)co 5888
ℝcr 7823 + caddc 7827 < clt 8005 |
| 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 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-13 2160 ax-14 2161 ax-ext 2169 ax-sep 4133 ax-pow 4186 ax-pr 4221 ax-un 4445 ax-setind 4548 ax-cnex 7915 ax-resscn 7916 ax-1cn 7917 ax-icn 7919 ax-addcl 7920 ax-addrcl 7921 ax-mulcl 7922 ax-addcom 7924 ax-addass 7926 ax-i2m1 7929 ax-0id 7932 ax-rnegex 7933 ax-pre-ltadd 7940 |
| This theorem depends on definitions:
df-bi 117 df-3an 981 df-tru 1366 df-fal 1369 df-nf 1471 df-sb 1773 df-eu 2039 df-mo 2040 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-ne 2358 df-nel 2453 df-ral 2470 df-rex 2471 df-rab 2474 df-v 2751 df-dif 3143 df-un 3145 df-in 3147 df-ss 3154 df-pw 3589 df-sn 3610 df-pr 3611 df-op 3613 df-uni 3822 df-br 4016 df-opab 4077 df-xp 4644 df-iota 5190 df-fv 5236 df-ov 5891 df-pnf 8007 df-mnf 8008 df-ltxr 8010 |
| This theorem is referenced by: zltaddlt1le
10020 rebtwn2zlemstep
10266 rebtwn2z
10268 2tnp1ge0ge0
10314 cvg1nlemcau
11006 resqrexlemdec
11033 cos12dec
11788 eirraplem
11797 ivthinclemlopn
14354 cosq23lt0
14494 cosordlem
14510 |
