Colors of
variables: wff
setvar class |
Syntax hints: class class
class wbr 5106 (class class class)co 7358
0cc0 11052 1c1 11053
+ caddc 11055 <
clt 11190 2c2 12209
3c3 12210 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2708 ax-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-resscn 11109 ax-1cn 11110 ax-icn 11111 ax-addcl 11112 ax-addrcl 11113 ax-mulcl 11114 ax-mulrcl 11115 ax-mulcom 11116 ax-addass 11117 ax-mulass 11118 ax-distr 11119 ax-i2m1 11120 ax-1ne0 11121 ax-1rid 11122 ax-rnegex 11123 ax-rrecex 11124 ax-cnre 11125 ax-pre-lttri 11126 ax-pre-lttrn 11127 ax-pre-ltadd 11128 ax-pre-mulgt0 11129 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-nel 3051 df-ral 3066 df-rex 3075 df-reu 3355 df-rab 3409 df-v 3448 df-sbc 3741 df-csb 3857 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-po 5546 df-so 5547 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-riota 7314 df-ov 7361 df-oprab 7362 df-mpo 7363 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 df-le 11196 df-sub 11388 df-neg 11389 df-2 12217
df-3 12218 |
This theorem is referenced by: 3ne0
12260 4pos
12261 3rp
12922 fz0to4untppr
13545 s4fv0
14785 01sqrexlem7
15134 sqrt9
15159 ef01bndlem
16067 cos2bnd
16071 sin01gt0
16073 cos01gt0
16074 rpnnen2lem3
16099 rpnnen2lem4
16100 rpnnen2lem9
16105 flodddiv4
16296 43prm
16995 slotsdifunifndx
17283 cnfldfunALTOLD
20813 tangtx
25865 sincos6thpi
25875 pige3ALT
25879 log2cnv
26297 log2tlbnd
26298 ppiub
26555 bposlem2
26636 bposlem3
26637 bposlem4
26638 bposlem5
26639 lgsdir2lem1
26676 dchrvmasumiflem1
26852 tgcgr4
27476 frgrogt3nreg
29344 friendshipgt3
29345 ex-gcd
29404 cyc3fv3
31991 cyc3conja
32009 hgt750lemd
33264 hgt750lem2
33268 heiborlem5
36277 heiborlem7
36279 3lexlogpow5ineq2
40515 3lexlogpow5ineq4
40516 3lexlogpow5ineq3
40517 3lexlogpow2ineq1
40518 3lexlogpow2ineq2
40519 3lexlogpow5ineq5
40520 aks4d1lem1
40522 aks4d1p1p6
40533 aks4d1p1p5
40535 aks4d1p1
40536 aks4d1p2
40537 aks4d1p3
40538 aks4d1p5
40540 aks4d1p6
40541 aks4d1p7d1
40542 aks4d1p7
40543 aks4d1p8
40547 aks4d1p9
40548 acos1half
40625 jm2.23
41323 stoweidlem13
44261 stoweidlem26
44274 stoweidlem34
44282 stoweidlem42
44290 stoweidlem59
44307 stoweid
44311 wallispilem4
44316 smfmullem4
45042 257prm
45760 127prm
45798 nfermltl2rev
45942 sepfsepc
46967 |