Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= wceq 1540 ∈
wcel 2105 ∃wrex 3069
↦ cmpt 5231 ran crn 5677 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1912
ax-6 1970 ax-7 2010 ax-8 2107
ax-9 2115 ax-10 2136 ax-11 2153 ax-12 2170 ax-ext 2702 ax-sep 5299 ax-nul 5306 ax-pr 5427 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1088 df-tru 1543 df-fal 1553 df-ex 1781 df-nf 1785 df-sb 2067 df-mo 2533 df-eu 2562 df-clab 2709 df-cleq 2723 df-clel 2809 df-nfc 2884 df-rex 3070 df-rab 3432 df-v 3475 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-sn 4629 df-pr 4631 df-op 4635 df-br 5149 df-opab 5211 df-mpt 5232 df-cnv 5684 df-dm 5686 df-rn 5687 |
This theorem is referenced by: pwfilem
9180 nsgmgc
32798 nsgqusf1olem1
32799 evls1maprnss
33051 algextdeglem4
33066 zarclsun
33149 rnmptssrn
44180 infnsuprnmpt
44253 supminfrnmpt
44454 supminfxrrnmpt
44480 sge0sup
45406 sge0resplit
45421 sge0xaddlem2
45449 sge0pnfmpt
45460 sge0reuz
45462 sge0reuzb
45463 hoidmvlelem2
45611 |