Colors of
variables: wff set class |
Syntax hints: wi 4
wceq 1353
wcel 2148
wral 2455
cvv 2737
cmpt 4064 wfn 5211 |
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 4121 ax-pow 4174 ax-pr 4209 |
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-v 2739 df-un 3133 df-in 3135 df-ss 3142 df-pw 3577 df-sn 3598 df-pr 3599 df-op 3601 df-br 4004 df-opab 4065 df-mpt 4066 df-id 4293 df-xp 4632 df-rel 4633 df-cnv 4634 df-co 4635 df-dm 4636 df-fun 5218 df-fn 5219 |
This theorem is referenced by: mpt0
5343 fnmptfvd
5620 ralrnmpt
5658 rexrnmpt
5659 fmpt
5666 fmpt2d
5678 f1ocnvd
6072 offval2
6097 ofrfval2
6098 caofinvl
6104 f1od2
6235 frectfr
6400 omfnex
6449 oeiv
6456 mptelixpg
6733 fifo
6978 nnnninfeq
7125 nninfwlporlemd
7169 cc2lem
7264 efcvgfsum
11674 quslem
12744 grpinvfng
12916 neif
13611 tgrest
13639 dvrecap
14147 fnmptd
14526 |