Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 (class class class)co 7362
1c1 11059 · cmul 11063 |
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-resscn 11115 ax-1cn 11116 ax-icn 11117 ax-addcl 11118 ax-mulcl 11120 ax-mulcom 11122 ax-mulass 11124 ax-distr 11125 ax-1rid 11128 ax-cnre 11131 |
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-rex 3075 df-rab 3411 df-v 3450 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-iota 6453 df-fv 6509 df-ov 7365 |
This theorem is referenced by: neg1mulneg1e1
12373 addltmul
12396 1exp
14004 expge1
14012 mulexp
14014 mulexpz
14015 expaddz
14019 m1expeven
14022 sqrecii
14094 i4
14115 facp1
14185 hashf1
14363 binom
15722 prodf1
15783 prodfrec
15787 fprodmul
15850 fprodge1
15885 fallfac0
15918 binomfallfac
15931 pwp1fsum
16280 rpmul
16542 2503lem2
17017 2503lem3
17018 4001lem4
17023 abvtrivd
20315 iimulcl
24316 dvexp
25333 dvef
25360 mulcxplem
26055 cxpmul2
26060 dvsqrt
26111 dvcnsqrt
26113 abscxpbnd
26122 1cubr
26208 dchrmulcl
26613 dchr1cl
26615 dchrinvcl
26617 lgslem3
26663 lgsval2lem
26671 lgsneg
26685 lgsdilem
26688 lgsdir
26696 lgsdi
26698 lgsquad2lem1
26748 lgsquad2lem2
26749 dchrisum0flblem2
26873 rpvmasum2
26876 mudivsum
26894 pntibndlem2
26955 axlowdimlem6
27938 hisubcomi
30088 lnophmlem2
31001 1nei
31695 1neg1t1neg1
31696 sgnmul
33182 hgt750lem2
33305 subfacval2
33821 faclim2
34360 knoppndvlem18
35021 lcmineqlem12
40526 pell1234qrmulcl
41207 pellqrex
41231 imsqrtvalex
41992 binomcxplemnotnn0
42710 dvnprodlem3
44263 stoweidlem13
44328 stoweidlem16
44331 wallispi
44385 wallispi2lem2
44387 2exp340mod341
45999 8exp8mod9
46002 nn0sumshdiglemB
46780 |