Colors of
variables: wff
setvar class |
Syntax hints:
∈ wcel 2099 (class class class)co 7420
ℂcc 11137 1c1 11140
/ cdiv 11902 2c2 12298 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pow 5365 ax-pr 5429 ax-un 7740 ax-resscn 11196 ax-1cn 11197 ax-icn 11198 ax-addcl 11199 ax-addrcl 11200 ax-mulcl 11201 ax-mulrcl 11202 ax-mulcom 11203 ax-addass 11204 ax-mulass 11205 ax-distr 11206 ax-i2m1 11207 ax-1ne0 11208 ax-1rid 11209 ax-rnegex 11210 ax-rrecex 11211 ax-cnre 11212 ax-pre-lttri 11213 ax-pre-lttrn 11214 ax-pre-ltadd 11215 ax-pre-mulgt0 11216 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3or 1086 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-nel 3044 df-ral 3059 df-rex 3068 df-rmo 3373 df-reu 3374 df-rab 3430 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-po 5590 df-so 5591 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-res 5690 df-ima 5691 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-f1 6553 df-fo 6554 df-f1o 6555 df-fv 6556 df-riota 7376 df-ov 7423 df-oprab 7424 df-mpo 7425 df-er 8725 df-en 8965 df-dom 8966 df-sdom 8967 df-pnf 11281 df-mnf 11282 df-xr 11283 df-ltxr 11284 df-le 11285 df-sub 11477 df-neg 11478 df-div 11903 df-2 12306 |
This theorem is referenced by: halfpm6th
12464 rddif
15320 geo2sum
15852 geo2lim
15854 geoihalfsum
15861 bpoly1
16028 bpoly2
16034 bpoly3
16035 efcllem
16054 ege2le3
16067 efival
16129 flodddiv4
16390 pcoass
24964 iscmet3lem3
25231 mbfi1fseqlem6
25663 dvmptre
25914 aaliou3lem2
26291 aaliou3lem3
26292 sincos4thpi
26461 cxpsqrt
26650 dvsqrt
26689 dvcnsqrt
26691 resqrtcn
26697 ang180lem3
26756 heron
26783 efiatan
26857 efiatan2
26862 gausslemma2dlem1a
27311 ipdirilem
30652 mayete3i
31551 opsqrlem6
31968 dnibndlem3
35955 dnibndlem6
35958 cntotbnd
37269 stirlinglem1
45462 dirkerper
45484 dirkertrigeqlem3
45488 dirkeritg
45490 dirkercncflem2
45492 fourierdlem18
45513 fourierdlem57
45551 fourierdlem58
45552 fourierdlem62
45556 fourierdlem103
45597 fourierdlem104
45598 0nodd
47232 |