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Theorem base summary for Specification byte
Status:
Proved!
Axioms: 31, User Theorems: 392 (Proved: 392, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 2747, Interactions: 1538
Byte-and-range(1,0)
bint-num(2,0)
byte-in(2,1)
byte-not-max(12,7)
inbint(0,0)
longin-mult(2,1)
shiftright-byte-8-pos(4,2)
short-law-sub(2,2)
short-range(2,1)
ubyte-pos-03(5,3)
b2i-i2b-same(1,1)
bint-num-01(2,0)
byte-is-cast(2,2)
byte-range(2,1)
inbyte(0,0)
longin-mult-01(27,17)
shiftright-byte-8-pos-01(9,5)
short-law-sub-one(4,4)
short-shift-pos(3,2)
ubyte-zero(1,0)
band-011x(1,1)
bint-num-02(2,0)
byte-is-cast-01(6,5)
byte-short-neq(12,10)
inbyte-bib(4,2)
longin-mult-mod(2,1)
short-011x-neg(8,5)
short-law-sub-one-01(4,4)
short-size(12,7)
ubyte-zero-01(4,2)
band-011x-01(2,1)
bint-num-03(2,0)
byte-law-add(4,3)
byte-sis(4,4)
inlong(0,0)
longin-mult-mod-01(2,1)
short-011x-pos(1,0)
short-law-xor-one(4,4)
short-size-01(3,2)
unsigned-byte(0,0)
band-bib(2,1)
bint-num-04(2,0)
byte-law-add-one(19,10)
byte-size(8,5)
inshort(0,0)
mfive(1,0)
short-32767(3,2)
short-ls(1,1)
short-size-02(8,4)
unsigned-short(0,0)
band-ff(1,1)
bint-num-in(3,2)
byte-law-add-pos(8,3)
byte-size-01(5,4)
inshort-01(2,1)
minus-five(1,0)
short-add-max(2,1)
short-mask(1,1)
short-sub-pos(2,1)
ushort-abs(1,0)
band-sis(5,3)
bint-pred(4,1)
byte-law-and-one(190,111)
byte-succ(3,1)
inshort-byte(1,1)
minus-five-01(1,0)
short-add-max-01(4,3)
short-max(1,0)
short-succ(2,1)
ushort-band(5,3)
bcompl-bib(2,1)
bint-pred-01(4,1)
byte-law-compl(4,3)
byte-unsigned(4,3)
inshort-le-num(2,0)
minus-four(1,0)
short-add-min(6,5)
short-max-01(2,1)
short-succ-01(2,1)
ushort-band-01(33,21)
bcompl-sis(3,2)
bint-pred-02(4,1)
byte-law-div-not(2,1)
byte2bint(0,0)
inshort-mult(1,0)
minus-four-01(1,0)
short-add-min-01(2,2)
short-max-02(2,1)
short-succ-pos(2,1)
ushort-band-02(2,2)
bib-64(1,0)
bint-short(1,1)
byte-law-leftshift(8,4)
byte2int-in(0,0)
inshort-neg(2,1)
minus-four-02(1,0)
short-add-min-02(4,3)
short-max-03(2,1)
short-zero(2,1)
ushort-band-03(1,1)
bib-bitlength(3,2)
bint-succ-notin(4,2)
byte-law-ls-not(1,0)
byte2short(0,0)
inshort-num(2,0)
minus-three(1,0)
short-add-min-03(4,3)
short-max-04(3,2)
short2bint(0,0)
ushort-band-shift(83,54)
bib-in(0,0)
bint-trans-pos(1,0)
byte-law-mult(3,3)
cast-b2i(1,1)
inshort-sis(4,2)
minus-three-01(1,0)
short-add-pos(2,1)
short-max-05(2,1)
short2byte(0,0)
ushort-band-shift-01(6,4)
bib-in-01(1,1)
bint-trans-pos-01(1,0)
byte-law-mult-one(29,19)
cast-b2i-01(20,11)
int2bint-out(0,0)
minus-two(1,0)
short-add-pos-01(2,1)
short-max-06(1,0)
short2int-in(0,0)
ushort-inj(15,7)
bib-lower(6,3)
bint-trans-pos-02(2,1)
byte-law-neg(37,24)
div-inshort(42,24)
int2byte-out(0,0)
mod-inshort(14,8)
short-add-pos-02(2,1)
short-max-07(1,0)
shortOverflow(0,0)
ushort-max(2,1)
bib-ls-same(11,6)
bint-trans-pos-03(2,1)
byte-law-righthift-not(101,42)
ex256(1,0)
int2long-out(0,0)
mthree(1,0)
short-add2(3,2)
short-max-08(1,0)
sis-01(1,1)
ushort-max-01(1,1)
bib-ls-same-01(18,9)
bint-trans-pos-04(1,0)
byte-law-sub(3,2)
fits-law-add(9,6)
int2short-out(0,0)
mthree-01(1,0)
short-byte(1,1)
short-max-09(1,0)
sis-03(4,2)
ushort-max-02(7,5)
bib-neg-high(55,32)
bint-unsigned(5,3)
byte-law-sub-one(3,3)
fits-law-band(9,5)
isi(0,0)
mtwo(1,0)
short-div-max(2,1)
short-max-10(1,0)
sis-05(2,1)
ushort-max-03(6,5)
bib-neg-low(42,25)
bint-unsigned-01(3,2)
byte-law-sub-one-01(5,5)
fits-law-band-01(14,7)
issi-ubyte(3,2)
notequal(5,3)
short-div-max-01(2,1)
short-max-11(11,8)
sis-06(1,1)
ushort-max-04(3,2)
bib-on-bits(36,19)
bint2int-in(0,0)
byte-le(1,0)
fits-law-band-02(15,7)
l2i-bint(2,1)
notequal-01(5,3)
short-div-ngr(9,6)
short-min(3,2)
sis-bitlength(3,2)
ushort-max-05(5,4)
bib-pos-high(42,24)
bor-bib(2,1)
byte-le-256(1,0)
fits-law-bor(11,8)
lib-in(0,0)
num-i2b-equal(3,1)
short-div256(3,2)
short-min-01(2,1)
sis-in(0,0)
ushort-max-06(1,0)
bib-pos-low(21,10)
bor-sis(5,3)
byte-len(2,1)
fits-law-bor-01(12,8)
lil-carry(13,7)
num-i2b-neg(3,1)
short-equal(4,4)
short-min-02(1,0)
sis-ls-same(11,6)
ushort-max-07(1,0)
bib-upper(2,1)
byte(1,0)
byte-length(4,2)
fits-law-bor-02(11,8)
lil-num(2,1)
num-i2b-pos(3,1)
short-ge(1,0)
short-min-03(1,0)
sis-ls-same-01(12,6)
ushort-neg(10,5)
biibi-in(0,0)
byte-01(1,0)
byte-ls-127(1,1)
fits-law-bxor(14,10)
long-automatic(71,3)
num-i2bi-neg(2,1)
short-in(6,3)
short-mod(5,3)
sis-neg-high(38,23)
ushort-nlsz(2,1)
bint-2pot31(1,1)
byte-011x-ib(1,1)
byte-ls-256(1,0)
fits-law-bxor-01(14,10)
long-automatic-01(3,2)
num-i2bi-pos(3,1)
short-inj(1,1)
short-mod-01(8,4)
sis-neg-low(31,18)
ushort-plus(21,11)
bint-and-011x-bits2unit(13,7)
byte-011x-neg(1,0)
byte-min(1,0)
fits-law-bxor-02(14,10)
long-automatic-02(5,3)
num-i2l-neg(6,3)
short-inrange(2,1)
short-mod-add(4,2)
sis-neg-lower(6,3)
ushort-plus-01(7,4)
bint-band-011x(7,5)
byte-011x-pos(1,0)
byte-mod-100x(1,1)
fits-law-compl(5,4)
long-automatic-03(3,2)
num-i2l-pos(6,3)
short-is-cast(2,2)
short-mod-add-01(5,3)
sis-on-bits(35,19)
ushort-pos(2,1)
bint-band-011x-neg(7,5)
byte-011x-pos-01(2,1)
byte-mod-100x-01(1,1)
fits-law-compl-01(5,3)
long-band-11x(1,1)
num-i2s-neg(2,1)
short-is-cast-01(3,3)
short-mod-add-02(2,1)
sis-pos-high(33,21)
ushort-pos-01(10,5)
bint-band-and-nlsz(2,1)
byte-011x-pos-02(2,0)
byte-mult(5,4)
fits-law-div(11,6)
long-band-add(8,5)
num-i2s-pos(3,1)
short-larger(15,4)
short-mod-max(3,2)
sis-pos-low(24,14)
ushort-pos-02(16,8)
bint-band-one(1,1)
byte-011x-unsgn(5,3)
byte-mult-01(3,2)
fits-law-div-stronger(20,13)
long-eq(7,6)
num-ibbi(3,1)
short-law-add(3,3)
short-mod-ngr(5,3)
sis-pos-upper(2,1)
ushort-short(11,8)
bint-band-one-01(1,1)
byte-02(1,0)
byte-mult-256(71,44)
fits-law-mod(12,6)
long-eq-01(1,0)
num-illi(4,2)
short-law-add-one(4,4)
short-mult-65536(5,5)
sis-sub-2pot(10,4)
ushort-zero(2,1)
bint-band-zero(4,2)
byte-03(1,0)
byte-mult-256-01(3,3)
fits-law-mod-01(12,6)
long-is-cast(21,11)
num-issi(3,1)
short-law-and-one(4,4)
short-mult-65536-01(1,1)
ubyte-abs(1,0)
ushort-zero-01(4,2)
bint-byte(1,1)
byte-04(1,0)
byte-mult-neg(12,7)
fits-law-mul(25,17)
long-is-cast-01(5,5)
out-test-01(1,0)
short-law-compl(9,6)
short-neq(2,1)
ubyte-band(1,1)
ushort-zero-02(2,1)
bint-carry(2,1)
byte-127(3,2)
byte-mult-pos(4,3)
fits-law-neg(11,6)
long-min(1,0)
out-test-02(1,0)
short-law-div-not(1,0)
short-neq-01(17,11)
ubyte-div-lsz(2,1)
zero-bint(0,0)
bint-carry-01(7,4)
byte-add-256(3,3)
byte-neq(2,0)
fits-law-shr(28,17)
long-min-01(3,2)
out-test-03(1,0)
short-law-leftshift(4,4)
short-neq-02(8,5)
ubyte-inj(11,7)
zero-byte(0,0)
bint-div2(2,1)
byte-add-256-01(4,3)
byte-nge(3,1)
fits-law-shr-01(15,9)
long-mod-neg-high(4,2)
out-test-04(1,0)
short-law-ls-not(1,0)
short-ngr(3,2)
ubyte-max(2,1)
zero-long(0,0)
bint-div2-01(2,1)
byte-and-255(2,1)
byte-ngr(2,0)
fits-law-sub(8,4)
long-mod-neg-low(4,2)
out-test-05(1,0)
short-law-mult(3,3)
short-nle(3,2)
ubyte-max-01(3,2)
zero-short(0,0)
bint-eq(1,0)
byte-and-le-256(1,0)
byte-ngr-01(2,1)
getShort-isi(37,23)
long-mod-pos-high(4,2)
out-test-06(1,0)
short-law-mult-one(4,4)
short-nle-01(2,1)
ubyte-max-02(2,1)
bint-equal(1,0)
byte-and-lsz(1,0)
byte-nle(4,2)
getsetShort-theorem(68,35)
long-mod-pos-low(4,2)
out-test-07(1,0)
short-law-neg(5,4)
short-nle-02(1,0)
ubyte-mod(2,1)
bint-fillsgn-len(8,4)
byte-bitlength(1,0)
byte-nle-01(4,2)
i2b-equal(1,0)
long-on-bits(3,2)
out-test-08(1,0)
short-law-or-one(4,4)
short-nle-03(3,2)
ubyte-mult(5,4)
bint-is-cast(21,11)
byte-bitlength-01(1,0)
byte-nle-02(2,0)
i2b-noteq(1,0)
long-shiftzero-in(23,13)
s144(1,0)
short-law-righthift-not(24,12)
short-nls(6,4)
ubyte-neg(8,4)
bint-is-cast-01(6,5)
byte-equal(4,3)
byte-nls(2,1)
ibi(0,0)
long-shzr(3,2)
s2i-switch(1,0)
short-law-shift-snd-l(2,2)
short-nls-01(3,2)
ubyte-pos(2,1)
bint-mod(14,7)
byte-equal-01(1,0)
byte-nls-01(2,0)
ibii(0,0)
long2int-in(0,0)
shiftright-byte-8-neg(6,3)
short-law-shift-snd-r(3,2)
short-not-max(1,0)
ubyte-pos-01(2,1)
bint-mult2(4,2)
byte-gr-127(2,1)
byte-nls-02(5,3)
ili(0,0)
longin-mod(4,2)
shiftright-byte-8-neg-01(7,3)
short-law-shift-snd-rz(2,2)
short-overflow(2,1)
ubyte-pos-02(2,1)