Colors of
variables: wff set class |
Syntax hints: wcel 2148
cab 2163
cvv 2737
class class class wbr 4003 cnq 7278 cltq 7283 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-coll 4118 ax-sep 4121 ax-pow 4174 ax-pr 4209 ax-un 4433 ax-iinf 4587 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-reu 2462 df-rab 2464 df-v 2739 df-sbc 2963 df-csb 3058 df-dif 3131 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-uni 3810 df-int 3845 df-iun 3888 df-br 4004 df-opab 4065 df-mpt 4066 df-id 4293 df-iom 4590 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-rn 4637 df-res 4638 df-ima 4639 df-iota 5178 df-fun 5218 df-fn 5219 df-f 5220 df-f1 5221 df-fo 5222 df-f1o 5223 df-fv 5224 df-qs 6540 df-ni 7302 df-nqqs 7346 df-ltnqqs 7351 |
This theorem is referenced by: nqprl
7549 nqpru
7550 1prl
7553 1pru
7554 addnqprlemrl
7555 addnqprlemru
7556 addnqprlemfl
7557 addnqprlemfu
7558 mulnqprlemrl
7571 mulnqprlemru
7572 mulnqprlemfl
7573 mulnqprlemfu
7574 ltnqpr
7591 ltnqpri
7592 archpr
7641 cauappcvgprlemladdfu
7652 cauappcvgprlemladdfl
7653 cauappcvgprlem2
7658 caucvgprlemladdfu
7675 caucvgprlem2
7678 caucvgprprlemopu
7697 suplocexprlemloc
7719 |