| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2099 0cc0 11139
1c1 11140 ℕ0cn0 12503 ;cdc 12708 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 ax-resscn 11196 ax-1cn 11197 ax-icn 11198 ax-addcl 11199 ax-addrcl 11200 ax-mulcl 11201 ax-mulrcl 11202 ax-mulcom 11203 ax-addass 11204 ax-mulass 11205 ax-distr 11206 ax-i2m1 11207 ax-1ne0 11208 ax-1rid 11209 ax-rnegex 11210 ax-rrecex 11211 ax-cnre 11212 ax-pre-lttri 11213 ax-pre-lttrn 11214 ax-pre-ltadd 11215 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-reu 3374 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-iun 4998 df-br 5149 df-opab 5211 df-mpt 5232 df-tr 5266 df-id 5576 df-eprel 5582 df-po 5590 df-so 5591 df-fr 5633 df-we 5635 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-pred 6305 df-ord 6372 df-on 6373 df-lim 6374 df-suc 6375 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-f1 6553 df-fo 6554 df-f1o 6555 df-fv 6556 df-ov 7423 df-om 7871 df-2nd 7994 df-frecs 8287 df-wrecs 8318 df-recs 8392 df-rdg 8431 df-er 8725 df-en 8965 df-dom 8966 df-sdom 8967 df-pnf 11281 df-mnf 11282 df-ltxr 11284 df-nn 12244 df-2 12306
df-3 12307 df-4 12308
df-5 12309 df-6 12310
df-7 12311 df-8 12312
df-9 12313 df-n0 12504 df-dec 12709 |
| This theorem is referenced by: decnncl
12728 dec0u
12729 dec0h
12730 decsuc
12739 decle
12742 decma
12759 decmac
12760 decma2c
12761 decadd
12762 decaddc
12763 decsubi
12771 decmul1c
12773 decmul2c
12774 decmul10add
12777 9t11e99
12838 sq10
14256 dec2dvds
17032 decsplit0b
17049 decsplit1
17051 decsplit
17052 karatsuba
17053 139prm
17093 317prm
17095 1259lem1
17100 1259lem3
17102 2503lem1
17106 4001lem1
17110 4001lem3
17112 9p10ne21
30293 dfdec100
32606 dp20u
32614 dp20h
32615 dp2clq
32617 dpmul100
32633 dpmul1000
32635 dpexpp1
32644 0dp2dp
32645 dpmul
32649 dpmul4
32650 hgt750lemd
34280 hgt750lem2
34284 hgt750leme
34290 tgoldbachgnn
34291 aks4d1p1p7
41545 sqdeccom12
41863 rmydioph
42435 tgoldbach
47157 |
