Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∈ wcel 2105 {crab 3431
Vcvv 3473 ◡ccnv 5676
(class class class)co 7412 RngHom crnghm 20326 RngIso crngim 20327 |
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 5300 ax-nul 5307 ax-pr 5428 |
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-ral 3061 df-rex 3070 df-rab 3432 df-v 3475 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-uni 4910 df-br 5150 df-opab 5212 df-xp 5683 df-dm 5687 df-iota 6496 df-fv 6552 df-ov 7415 df-oprab 7416 df-mpo 7417 df-rngim 20329 |
This theorem is referenced by: rngimf1o
20346 rngimrnghm
20347 rngimcnv
20348 |