| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2099 {cab 2705
class class class wbr 5143 Qcnq 10870 1Qc1q 10871
<Q cltq 10876
Pcnp 10877
1Pc1p 10878 |
| 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 5294 ax-nul 5301 ax-pow 5360 ax-pr 5424 ax-un 7735 ax-inf2 9659 |
| 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 2937 df-ral 3058 df-rex 3067 df-rmo 3372 df-reu 3373 df-rab 3429 df-v 3472 df-sbc 3776 df-csb 3891 df-dif 3948 df-un 3950 df-in 3952 df-ss 3962 df-pss 3964 df-nul 4320 df-if 4526 df-pw 4601 df-sn 4626 df-pr 4628 df-op 4632 df-uni 4905 df-int 4946 df-iun 4994 df-br 5144 df-opab 5206 df-mpt 5227 df-tr 5261 df-id 5571 df-eprel 5577 df-po 5585 df-so 5586 df-fr 5628 df-we 5630 df-xp 5679 df-rel 5680 df-cnv 5681 df-co 5682 df-dm 5683 df-rn 5684 df-res 5685 df-ima 5686 df-pred 6300 df-ord 6367 df-on 6368 df-lim 6369 df-suc 6370 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-ov 7418 df-oprab 7419 df-mpo 7420 df-om 7866 df-1st 7988 df-2nd 7989 df-frecs 8281 df-wrecs 8312 df-recs 8386 df-rdg 8425 df-1o 8481 df-oadd 8485 df-omul 8486 df-er 8719 df-ni 10890 df-pli 10891 df-mi 10892 df-lti 10893 df-plpq 10926 df-mpq 10927 df-ltpq 10928 df-enq 10929 df-nq 10930 df-erq 10931 df-plq 10932 df-mq 10933 df-1nq 10934 df-rq 10935 df-ltnq 10936 df-np 10999 df-1p 11000 |
| This theorem is referenced by: 1idpr
11047 gt0srpr
11096 0r
11098 1sr
11099 m1r
11100 m1p1sr
11110 m1m1sr
11111 0lt1sr
11113 0idsr
11115 1idsr
11116 00sr
11117 recexsrlem
11121 mappsrpr
11126 ltpsrpr
11127 map2psrpr
11128 supsrlem
11129 |
