Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
= wceq 1539 ∈
wcel 2104 ∃wrex 3068
↦ cmpt 5230 ran crn 5676 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5298 ax-nul 5305 ax-pr 5426 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-rex 3069 df-rab 3431 df-v 3474 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4322 df-if 4528 df-sn 4628 df-pr 4630 df-op 4634 df-br 5148 df-opab 5210 df-mpt 5231 df-cnv 5683 df-dm 5685 df-rn 5686 |
This theorem is referenced by: pwfilem
9179 nsgmgc
32797 nsgqusf1olem1
32798 evls1maprnss
33050 algextdeglem4
33065 zarclsun
33148 rnmptssrn
44179 infnsuprnmpt
44252 supminfrnmpt
44453 supminfxrrnmpt
44479 sge0sup
45405 sge0resplit
45420 sge0xaddlem2
45448 sge0pnfmpt
45459 sge0reuz
45461 sge0reuzb
45462 hoidmvlelem2
45610 |