Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= wceq 1542 ∈
wcel 2107 ∃wrex 3071
↦ cmpt 5232 ran crn 5678 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2704 ax-sep 5300 ax-nul 5307 ax-pr 5428 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-sn 4630 df-pr 4632 df-op 4636 df-br 5150 df-opab 5212 df-mpt 5233 df-cnv 5685 df-dm 5687 df-rn 5688 |
This theorem is referenced by: pwfilem
9177 nsgmgc
32523 nsgqusf1olem1
32524 evls1maprnss
32761 algextdeglem1
32772 zarclsun
32850 rnmptssrn
43879 infnsuprnmpt
43954 supminfrnmpt
44155 supminfxrrnmpt
44181 sge0sup
45107 sge0resplit
45122 sge0xaddlem2
45150 sge0pnfmpt
45161 sge0reuz
45163 sge0reuzb
45164 hoidmvlelem2
45312 |