Colors of
variables: wff
setvar class |
Syntax hints:
∧ wa 397 ∧ w3a 1088
= wceq 1542 ∃wex 1782 ∀wral 3061
∃wrex 3070 ∖
cdif 3911 ∅c0 4286
class class class wbr 5109 Rel wrel 5642
suc csuc 6323 Fn wfn 6495
‘cfv 6500 ωcom 7806 1oc1o 8409
t++cttrcl 9651 |
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-11 2155 ax-12 2172 ax-ext 2704 |
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-sb 2069 df-clab 2711 df-cleq 2725 df-clel 2811 df-rab 3407 df-v 3449 df-dif 3917 df-un 3919 df-in 3921 df-ss 3931 df-nul 4287 df-if 4491 df-sn 4591 df-pr 4593 df-op 4597 df-opab 5172 df-xp 5643 df-rel 5644 df-ttrcl 9652 |
This theorem is referenced by: brttrcl
9657 ttrclss
9664 ttrclexg
9667 |