Colors of
variables: wff
setvar class |
Syntax hints:
∧ wa 396 = wceq 1541
∃wex 1781 ∈
wcel 2106 ⊆ wss 3948
⟨cop 4634 class class class wbr 5148
{copab 5210 ×
cxp 5674 (class class class)co 7411
[cec 8703
+P cpp 10858 <P cltp 10860
~R cer 10861
Rcnr 10862
<R cltr 10868 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-ext 2703 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-tru 1544 df-ex 1782 df-sb 2068 df-clab 2710 df-cleq 2724 df-clel 2810 df-v 3476 df-in 3955 df-ss 3965 df-opab 5211 df-xp 5682 df-ltr 11056 |
This theorem is referenced by: ltsrpr
11074 ltasr
11097 recexsrlem
11100 addgt0sr
11101 mulgt0sr
11102 map2psrpr
11107 supsrlem
11108 supsr
11109 ltresr
11137 axpre-lttrn
11163 |