| Colors of
variables: wff set class |
| Syntax hints:
∈ wcel 2148 class class class wbr 4005
ℝcr 7813 0cc0 7814
< clt 7995 # cap 8541 |
| 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 7905 ax-resscn 7906 ax-1cn 7907 ax-1re 7908 ax-icn 7909 ax-addcl 7910 ax-addrcl 7911 ax-mulcl 7912 ax-mulrcl 7913 ax-addcom 7914 ax-mulcom 7915 ax-addass 7916 ax-mulass 7917 ax-distr 7918 ax-i2m1 7919 ax-0lt1 7920 ax-1rid 7921 ax-0id 7922 ax-rnegex 7923 ax-precex 7924 ax-cnre 7925 ax-pre-ltirr 7926 ax-pre-lttrn 7928 ax-pre-apti 7929 ax-pre-ltadd 7930 ax-pre-mulgt0 7931 |
| 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-reu 2462 df-rab 2464 df-v 2741 df-sbc 2965 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-id 4295 df-xp 4634 df-rel 4635 df-cnv 4636 df-co 4637 df-dm 4638 df-iota 5180 df-fun 5220 df-fv 5226 df-riota 5834 df-ov 5881 df-oprab 5882 df-mpo 5883 df-pnf 7997 df-mnf 7998 df-ltxr 8000 df-sub 8133 df-neg 8134 df-reap 8535 df-ap 8542 |
| This theorem is referenced by: eqneg
8692 nnap0i
8953 2ap0
9015 3ap0
9018 4ap0
9021 8th4div3
9141 halfpm6th
9142 5recm6rec
9530 resqrexlemover
11022 0.999...
11532 efi4p
11728 resin4p
11729 recos4p
11730 ef01bndlem
11767 cos2bnd
11771 sincos2sgn
11776 eap0
11794 sinhalfpilem
14352 sincos4thpi
14401 tan4thpi
14402 sincos6thpi
14403 2lgsoddprmlem1
14593 2lgsoddprmlem2
14594 2lgsoddprmlem3a
14595 2lgsoddprmlem3b
14596 2lgsoddprmlem3c
14597 2lgsoddprmlem3d
14598 |
