| Colors of
variables: wff
setvar class |
| Syntax hints:
โ wi 4 = wceq 1533
โ wcel 2098 (class class class)co 7401
No csur 27477
ยทs cmuls 27910 |
| 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 2163 ax-ext 2695 ax-rep 5275 ax-sep 5289 ax-nul 5296 ax-pow 5353 ax-pr 5417 ax-un 7718 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-ral 3054 df-rex 3063 df-rmo 3368 df-reu 3369 df-rab 3425 df-v 3468 df-sbc 3770 df-csb 3886 df-dif 3943 df-un 3945 df-in 3947 df-ss 3957 df-pss 3959 df-nul 4315 df-if 4521 df-pw 4596 df-sn 4621 df-pr 4623 df-tp 4625 df-op 4627 df-ot 4629 df-uni 4900 df-int 4941 df-iun 4989 df-br 5139 df-opab 5201 df-mpt 5222 df-tr 5256 df-id 5564 df-eprel 5570 df-po 5578 df-so 5579 df-fr 5621 df-se 5622 df-we 5623 df-xp 5672 df-rel 5673 df-cnv 5674 df-co 5675 df-dm 5676 df-rn 5677 df-res 5678 df-ima 5679 df-pred 6290 df-ord 6357 df-on 6358 df-suc 6360 df-iota 6485 df-fun 6535 df-fn 6536 df-f 6537 df-f1 6538 df-fo 6539 df-f1o 6540 df-fv 6541 df-riota 7357 df-ov 7404 df-oprab 7405 df-mpo 7406 df-1st 7968 df-2nd 7969 df-frecs 8261 df-wrecs 8292 df-recs 8366 df-1o 8461 df-2o 8462 df-nadd 8660 df-no 27480 df-slt 27481 df-bday 27482 df-sle 27582 df-sslt 27618 df-scut 27620 df-0s 27661 df-made 27678 df-old 27679 df-left 27681 df-right 27682 df-norec 27759 df-norec2 27770 df-adds 27781 df-negs 27838 df-subs 27839 df-muls 27911 |
| This theorem is referenced by: addsdird
27961 subsdird
27963 mulnegs2d
27965 muls4d
27972 sltmul1d
27977 sltmulneg2d
27981 mulscan1d
27984 muls12d
27985 divscan1wd
28001 sltdivmul2wd
28003 sltmuldiv2wd
28005 |
