Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5106 ℝcr 11051
-∞cmnf 11188 <
clt 11190 |
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 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-cnex 11108 |
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-sb 2069 df-clab 2715 df-cleq 2729 df-clel 2815 df-ral 3066 df-rex 3075 df-rab 3409 df-v 3448 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-xp 5640 df-pnf 11192 df-mnf 11193 df-xr 11194 df-ltxr 11195 |
This theorem is referenced by: qbtwnxr
13120 xltnegi
13136 supxrre
13247 infxrre
13256 caucvgrlem
15558 tgioo
24162 reconnlem1
24192 reconnlem2
24193 ovoliunlem1
24869 ovoliun
24872 ioombl1lem2
24926 ismbf3d
25021 dvferm1lem
25351 dvferm2lem
25353 degltlem1
25440 ply1divex
25504 dvdsq1p
25528 logdmnrp
25999 atans2
26284 areacirclem5
36173 infleinflem2
43612 xrralrecnnge
43632 icoopn
43770 icomnfinre
43797 ressiocsup
43799 ressioosup
43800 preimaiocmnf
43806 limciccioolb
43869 limsupre
43889 limcresioolb
43891 limcleqr
43892 xlimmnfvlem1
44080 fourierdlem32
44387 fourierdlem46
44400 fourierdlem48
44402 fourierdlem49
44403 fourierdlem74
44428 fourierdlem88
44442 fourierdlem95
44449 fourierdlem103
44457 fourierdlem104
44458 fouriersw
44479 ioorrnopnxrlem
44554 hspdifhsp
44864 hspmbllem2
44875 pimgtmnf2
44962 smfsuplem1
45059 |