Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
(class class class)co 7358 ℝ*cxr 11189
+𝑒 cxad 13032 |
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-10 2138 ax-11 2155 ax-12 2172 ax-ext 2708 ax-sep 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-cnex 11108 ax-1cn 11110 ax-addrcl 11113 ax-rnegex 11123 ax-cnre 11125 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2890 df-ne 2945 df-ral 3066 df-rex 3075 df-rab 3409 df-v 3448 df-sbc 3741 df-csb 3857 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-iun 4957 df-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-fv 6505 df-ov 7361 df-oprab 7362 df-mpo 7363 df-1st 7922 df-2nd 7923 df-pnf 11192 df-mnf 11193 df-xr 11194 df-xadd 13035 |
This theorem is referenced by: xadd4d
13223 imasdsf1olem
23729 bldisj
23754 xblss2ps
23757 xblss2
23758 blcld
23864 comet
23872 stdbdxmet
23874 metdstri
24217 metdscnlem
24221 iscau3
24645 xlt2addrd
31666 xrge0addcld
31670 xrge0subcld
31671 xrofsup
31675 xrsmulgzz
31872 xrge0adddir
31886 xrge0adddi
31887 esumle
32660 esumlef
32664 omssubadd
32903 inelcarsg
32914 carsgclctunlem2
32922 carsgclctunlem3
32923 carsgclctun
32924 xle2addd
43577 infrpge
43592 xrlexaddrp
43593 infleinflem1
43611 infleinflem2
43612 limsupgtlem
44025 ismbl3
44234 ismbl4
44241 sge0prle
44649 sge0split
44657 sge0iunmptlemre
44663 sge0xaddlem1
44681 omeunle
44764 carageniuncl
44771 ovnsubaddlem1
44818 hspmbl
44877 ovolval5lem1
44900 |