Colors of
variables: wff set class |
Syntax hints: wa 104
wb 105 wceq 1353 wral 2455 crab 2459 cvv 2738 class class class wbr 4004
cmpt 4065 cxp 4625 wrel 4632 (class class class)co 5875
cmap 6648
cr 7810
cc0 7811
caddc 7814 cle 7993 cmet 13444 |
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-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-14 2151 ax-ext 2159 ax-sep 4122 ax-pow 4175 ax-pr 4210 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2740 df-un 3134 df-in 3136 df-ss 3143 df-pw 3578 df-sn 3599 df-pr 3600 df-op 3602 df-opab 4066 df-mpt 4067 df-xp 4633 df-rel 4634 df-met 13452 |
This theorem is referenced by: metflem
13852 ismet2
13857 |