Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 397
∈ wcel 2107 ifcif 4487
class class class wbr 5106 ℝcr 11051
ℝ*cxr 11189
≤ cle 11191 |
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-resscn 11109 ax-pre-lttri 11126 ax-pre-lttrn 11127 |
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-nel 3051 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-br 5107 df-opab 5169 df-mpt 5190 df-id 5532 df-po 5546 df-so 5547 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-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-er 8649 df-en 8885 df-dom 8886 df-sdom 8887 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 df-le 11196 |
This theorem is referenced by: z2ge
13118 ssfzunsnext
13487 uzsup
13769 expmulnbnd
14139 discr1
14143 rexuzre
15238 rexico
15239 caubnd
15244 limsupgre
15364 limsupbnd2
15366 rlim3
15381 lo1bdd2
15407 o1lo1
15420 rlimclim1
15428 lo1mul
15511 rlimno1
15539 cvgrat
15769 ruclem10
16122 bitsfzo
16316 1arith
16800 setsstruct2
17047 evth
24325 ioombl1lem1
24925 mbfi1flimlem
25090 itg2monolem3
25120 iblre
25161 itgreval
25164 iblss
25172 i1fibl
25175 itgitg1
25176 itgle
25177 itgeqa
25181 iblconst
25185 itgconst
25186 ibladdlem
25187 itgaddlem2
25191 iblabslem
25195 iblabsr
25197 iblmulc2
25198 itgmulc2lem2
25200 itgsplit
25203 plyaddlem1
25577 coeaddlem
25613 o1cxp
26327 cxp2lim
26329 cxploglim2
26331 ftalem1
26425 ftalem2
26426 chtppilim
26826 dchrisumlem3
26842 ostth2lem2
26985 ostth3
26989 knoppndvlem18
34995 ibladdnclem
36137 itgaddnclem2
36140 iblabsnclem
36144 iblmulc2nc
36146 itgmulc2nclem2
36148 ftc1anclem5
36158 irrapxlem4
41151 irrapxlem5
41152 rexabslelem
43660 uzublem
43672 max1d
43692 uzubioo
43812 climsuse
43856 limsupubuzlem
43960 limsupmnfuzlem
43974 limsupequzmptlem
43976 limsupre3uzlem
43983 liminflelimsuplem
44023 ioodvbdlimc1lem2
44180 ioodvbdlimc2lem
44182 |