| Colors of
variables: wff
setvar class |
| Syntax hints:
→ wi 4 = wceq 1533
∈ wcel 2098 (class class class)co 7426
No csur 27593
+s cadds 27896 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2166 ax-ext 2699 ax-rep 5289 ax-sep 5303 ax-nul 5310 ax-pow 5369 ax-pr 5433 ax-un 7746 |
| This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2529 df-eu 2558 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-ral 3059 df-rex 3068 df-rmo 3374 df-reu 3375 df-rab 3431 df-v 3475 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-pss 3968 df-nul 4327 df-if 4533 df-pw 4608 df-sn 4633 df-pr 4635 df-tp 4637 df-op 4639 df-uni 4913 df-int 4954 df-iun 5002 df-br 5153 df-opab 5215 df-mpt 5236 df-tr 5270 df-id 5580 df-eprel 5586 df-po 5594 df-so 5595 df-fr 5637 df-se 5638 df-we 5639 df-xp 5688 df-rel 5689 df-cnv 5690 df-co 5691 df-dm 5692 df-rn 5693 df-res 5694 df-ima 5695 df-pred 6310 df-ord 6377 df-on 6378 df-suc 6380 df-iota 6505 df-fun 6555 df-fn 6556 df-f 6557 df-f1 6558 df-fo 6559 df-f1o 6560 df-fv 6561 df-riota 7382 df-ov 7429 df-oprab 7430 df-mpo 7431 df-1st 7999 df-2nd 8000 df-frecs 8293 df-wrecs 8324 df-recs 8398 df-1o 8493 df-2o 8494 df-no 27596 df-slt 27597 df-bday 27598 df-sslt 27734 df-scut 27736 df-made 27794 df-old 27795 df-left 27797 df-right 27798 df-norec2 27886 df-adds 27897 |
| This theorem is referenced by: addslid
27905 addsproplem2
27907 addsproplem4
27909 addsproplem5
27910 addsproplem6
27911 adds32d
27944 adds12d
27945 adds42d
27947 negnegs
27976 npcans
28003 negsubsdi2d
28008 sltsubsubbd
28011 sltsubadd2d
28018 sltaddsub2d
28020 mulsproplem12
28047 mulscom
28059 addsdilem3
28073 addsdilem4
28074 mulsasslem3
28085 mulsunif2lem
28089 |
