Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 ‘cfv 6497
3c3 12210 ndxcnx 17066
.rcmulr 17135 |
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-cnex 11108 ax-1cn 11110 ax-addcl 11112 |
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-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-pss 3930 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-iun 4957 df-br 5107 df-opab 5169 df-mpt 5190 df-tr 5224 df-id 5532 df-eprel 5538 df-po 5546 df-so 5547 df-fr 5589 df-we 5591 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-pred 6254 df-ord 6321 df-on 6322 df-lim 6323 df-suc 6324 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-ov 7361 df-om 7804 df-2nd 7923 df-frecs 8213 df-wrecs 8244 df-recs 8318 df-rdg 8357 df-nn 12155 df-2 12217
df-3 12218 df-slot 17055 df-ndx 17067 df-mulr 17148 |
This theorem is referenced by: basendxnmulrndx
17177 basendxnmulrndxOLD
17178 plusgndxnmulrndx
17179 rngstr
17180 starvndxnmulrndx
17188 scandxnmulrndx
17200 vscandxnmulrndx
17205 ipndxnmulrndx
17216 tsetndxnmulrndx
17240 plendxnmulrndx
17254 dsndxnmulrndx
17273 slotsdifunifndx
17283 opprlemOLD
20056 cnfldfunALTOLD
20813 matscaOLD
21766 matvscaOLD
21768 mnringbasedOLD
42499 mnringaddgdOLD
42505 mnringscadOLD
42510 mnringvscadOLD
42512 |