Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
(class class class)co 7358 ℝ*cxr 11189 [,]cicc 13268 |
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-pr 5385 ax-un 7673 ax-cnex 11108 ax-resscn 11109 |
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-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-xr 11194 df-icc 13272 |
This theorem is referenced by: xrge0neqmnf
13370 xrge0nre
13371 isxmet2d
23683 stdbdxmet
23874 metds0
24216 metdstri
24217 metdsre
24219 metdseq0
24220 metdscnlem
24221 metnrmlem1a
24224 metnrmlem1
24225 oprpiece1res1
24317 xrge0infss
31668 xrge0mulgnn0
31883 xrge0omnd
31922 esumcvgre
32693 mblfinlem1
36118 iccintsng
43768 icoiccdif
43769 eliccnelico
43774 eliccelicod
43775 ge0xrre
43776 iblspltprt
44221 iblcncfioo
44226 itgspltprt
44227 gsumge0cl
44619 sge0tsms
44628 |