Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ↔ wb 205
∧ w3a 1088 ∈
wcel 2107 class class class wbr 5106
(class class class)co 7358 ℝcr 11051
≤ cle 11191 [,]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-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-ov 7361 df-oprab 7362 df-mpo 7363 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 df-icc 13272 |
This theorem is referenced by: iccshift
43763 iooiinicc
43787 sqrlearg
43798 limciccioolb
43869 cncfiooicclem1
44141 iblspltprt
44221 itgspltprt
44227 itgiccshift
44228 itgperiod
44229 itgsbtaddcnst
44230 fourierdlem15
44370 fourierdlem17
44372 fourierdlem40
44395 fourierdlem50
44404 fourierdlem51
44405 fourierdlem62
44416 fourierdlem63
44417 fourierdlem64
44418 fourierdlem65
44419 fourierdlem73
44427 fourierdlem74
44428 fourierdlem75
44429 fourierdlem76
44430 fourierdlem78
44432 fourierdlem81
44435 fourierdlem82
44436 fourierdlem92
44446 fourierdlem93
44447 fourierdlem101
44455 fourierdlem103
44457 fourierdlem104
44458 fourierdlem107
44461 fourierdlem111
44465 rrxsnicc
44548 salgencntex
44591 hoidmv1lelem2
44840 hoidmvlelem1
44843 hoidmvlelem2
44844 iinhoiicclem
44921 smfmullem1
45039 |