Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2104 class class class wbr 5147
(class class class)co 7411 ℝcr 11111
0cc0 11112 1c1 11113
≤ cle 11253 [,]cicc 13331 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 ax-cnex 11168 ax-resscn 11169 ax-1cn 11170 ax-icn 11171 ax-addcl 11172 ax-addrcl 11173 ax-mulcl 11174 ax-mulrcl 11175 ax-mulcom 11176 ax-addass 11177 ax-mulass 11178 ax-distr 11179 ax-i2m1 11180 ax-1ne0 11181 ax-1rid 11182 ax-rnegex 11183 ax-rrecex 11184 ax-cnre 11185 ax-pre-lttri 11186 ax-pre-lttrn 11187 ax-pre-ltadd 11188 ax-pre-mulgt0 11189 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-reu 3375 df-rab 3431 df-v 3474 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-br 5148 df-opab 5210 df-mpt 5231 df-id 5573 df-po 5587 df-so 5588 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-riota 7367 df-ov 7414 df-oprab 7415 df-mpo 7416 df-er 8705 df-en 8942 df-dom 8943 df-sdom 8944 df-pnf 11254 df-mnf 11255 df-xr 11256 df-ltxr 11257 df-le 11258 df-sub 11450 df-neg 11451 df-icc 13335 |
This theorem is referenced by: xrhmeo
24691 htpycom
24722 htpyid
24723 htpyco1
24724 htpyco2
24725 htpycc
24726 phtpy01
24731 phtpycom
24734 phtpyid
24735 phtpyco2
24736 phtpycc
24737 reparphti
24743 reparphtiOLD
24744 pcocn
24764 pcohtpylem
24766 pcoptcl
24768 pcopt
24769 pcopt2
24770 pcoass
24771 pcorevcl
24772 pcorevlem
24773 pi1xfrf
24800 pi1xfr
24802 pi1xfrcnvlem
24803 pi1xfrcnv
24804 pi1cof
24806 pi1coghm
24808 dvlipcn
25746 lgamgulmlem2
26770 ttgcontlem1
28409 brbtwn2
28430 axsegconlem1
28442 axpaschlem
28465 axcontlem7
28495 axcontlem8
28496 xrge0iifcnv
33211 xrge0iifiso
33213 xrge0iifhom
33215 cnpconn
34519 pconnconn
34520 txpconn
34521 ptpconn
34522 indispconn
34523 connpconn
34524 sconnpi1
34528 txsconnlem
34529 txsconn
34530 cvxpconn
34531 cvxsconn
34532 cvmliftlem14
34586 cvmlift2lem2
34593 cvmlift2lem3
34594 cvmlift2lem8
34599 cvmlift2lem12
34603 cvmlift2lem13
34604 cvmliftphtlem
34606 cvmliftpht
34607 cvmlift3lem1
34608 cvmlift3lem2
34609 cvmlift3lem4
34611 cvmlift3lem5
34612 cvmlift3lem6
34613 cvmlift3lem9
34616 lcmineqlem12
41211 |