Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2107 ≠ wne 2944
𝒫 cpw 4565 +∞cpnf 11193 -∞cmnf 11194
ℝ*cxr 11195 |
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-ext 2708 ax-sep 5261 ax-pow 5325 ax-un 7677 ax-cnex 11114 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-tru 1545 df-ex 1783 df-sb 2069 df-clab 2715 df-cleq 2729 df-clel 2815 df-ne 2945 df-rab 3411 df-v 3450 df-un 3920 df-in 3922 df-ss 3932 df-pw 4567 df-sn 4592 df-pr 4594 df-uni 4871 df-pnf 11198 df-mnf 11199 df-xr 11200 |
This theorem is referenced by: mnfnepnf
11218 xnn0nemnf
12503 xrnemnf
13045 xrltnr
13047 pnfnlt
13056 nltmnf
13057 xaddpnf1
13152 xaddnemnf
13162 xmullem2
13191 xadddilem
13220 hashnemnf
14251 xrge0iifhom
32558 esumpr2
32706 |