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Theorem base summary for Specification intops
Status:
Proved!
Axioms: 29, User Theorems: 363 (Proved: 363, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 5250, Interactions: 2693
add-ones-grlen(19,6)
and-rec-05(1,1)
band-011x-neg-04(4,3)
band-notneg-01(5,3)
bitsor-bi-ones(20,9)
bor-2pot-plus(48,23)
cast-law-mult-pos(19,12)
compl-def(2,1)
longshiftrsign(0,0)
shiftright-neg-div-01(3,2)
add-ones-grlen-01(2,2)
and-rec-06(2,1)
band-011x-pos(60,25)
band-num(2,0)
bitsor-bi-sgn(109,50)
bor-2pot-plus-01(57,29)
cast-law-neg(10,7)
compl-zero(1,0)
longshiftrzero-def(0,0)
shiftright-neg-div-02(2,2)
add-ones-grlen-02(18,9)
and-rec-07(2,1)
band-011x-pos-01(2,1)
band-one-is-mod2(5,2)
bitsor-bi-zeroes(34,12)
bor-2pot-plus-02(2,2)
cast-law-neg-pos(9,4)
divide-by-10(24,15)
longshiftzero-band-63(2,2)
shiftright-neg-mone(10,5)
add-ones-lelen(17,5)
and-rec-08(2,1)
band-011x-pos-02(3,2)
band-zero(3,2)
bitsor-com(25,13)
bor-65536-plus(4,4)
cast-law-or-one(8,7)
intshiftleft(0,0)
longshiftzero-carry(3,1)
shiftright-not-le(6,3)
add-ones-lelen-01(2,2)
and-rec-09(2,1)
band-011x-zero(1,0)
bcompl-absorption(3,2)
bitsor-empty(10,5)
bor-assoc(5,4)
cast-law-shift-snd-l(8,4)
intshiftleft-band31(2,2)
longshiftzero-carry-01(18,11)
shiftright-not-ls(2,1)
and-011x-neg(32,15)
and-rec-10(1,0)
band-255-neg(3,3)
bcompl-def(0,0)
bitsor-first(21,11)
bor-bitlength(5,3)
cast-law-shift-snd-r(5,4)
intshiftleft-is-mult(15,9)
longshiftzero-def-pos(3,2)
shiftright-not-ls-01(2,1)
and-ass(46,23)
and-rec-11(1,0)
band-255-pos(3,3)
bcompl-num(2,1)
bitsor-first-01(18,7)
bor-com(2,2)
cast-law-shift-snd-zr(5,4)
intshiftleft-is-mult-01(36,19)
longshiftzero-def-unbounded(2,2)
shiftright-not-neg(4,2)
and-bits2int-sgn(2,1)
and-rec-12(1,0)
band-31-pos(6,2)
bcompl-size(1,0)
bitsor-first-02(26,10)
bor-def(0,0)
cast-law-sub(2,2)
intshiftleft-is-shiftleft(2,2)
longshiftzero-not-neg(4,2)
shiftright-not-pos(5,3)
and-com(22,9)
and-sgn(68,35)
band-31-pos-01(2,1)
bcompl-size-01(4,2)
bitsor-mklist-in(34,15)
bor-neq(1,0)
cast-law-sub-one(3,3)
intshiftleft-num(2,1)
longshiftzero-not-neg-01(3,2)
shiftright-not-pos-01(12,6)
and-false(21,7)
and-size-one(26,11)
band-31-pos-02(2,1)
bits2int-is-cast(2,1)
bitsor-onel(0,0)
bor-notAndNot(16,8)
cast-law-sub-one-01(5,5)
intshiftright-def-unbounded(3,2)
longshiftzero-pos(4,3)
shiftright-pos-div(9,5)
and-first(25,9)
and-size-one-01(15,7)
band-32-not-neg(2,1)
bits2int-is-cast-01(1,1)
bitsor-oner(0,0)
bor-num(2,1)
cast-law-xor-one(13,12)
intshiftright-ls(2,1)
longshiftzero-zero(7,4)
shiftright-pos-div-01(3,2)
and-insgn(41,21)
and-true(20,6)
band-63-lezero(1,0)
bitsand-app(14,7)
bitsor-ones-false(20,9)
bor-shift-plus(3,3)
cast-length(4,2)
intshiftright-ls-01(24,10)
longshiftzero-zero-01(3,1)
shiftright-rec-8(10,4)
and-notempty(16,6)
and-two(1,1)
band-63-pos(6,2)
bitsand-app-false(18,8)
bitsor-ones-samelen(6,2)
bor-zero(2,1)
cast-max(8,4)
intshiftright-ls-02(9,6)
longshiftzero-zero-02(1,1)
shiftright-rec-8-neg(118,68)
and-notempty-01(2,1)
and-two-02(1,0)
band-63-pos-01(2,1)
bitsand-app-ones(22,11)
bitsor-ones-true(16,7)
bxor-bitlength(9,5)
cast-min(10,5)
intshiftright-mone(1,0)
longshiftzero-zero-03(3,2)
shiftright-rec-neg(57,31)
and-notempty-02(2,1)
and-two-03(1,0)
band-63-pos-02(2,1)
bitsand-app-true(18,8)
bitsor-rec(0,0)
bxor-com(2,2)
cast-mod-in(4,2)
intshiftright-unbounded-same(4,2)
or-invandinv(34,15)
shiftright-rec-pos(61,27)
and-notempty-03(2,1)
and-two-04(1,0)
band-65535-neg(3,3)
bitsand-app-zeros(46,23)
bitsor-sgn-in(44,20)
bxor-def(0,0)
cast-mod-ls(3,2)
intshiftrsign(22,9)
or-last(2,1)
shiftright-rec-pos-01(3,2)
and-notempty-04(2,1)
and-two-05(1,0)
band-65535-pos(3,3)
bitsand-app-zeros-01(36,18)
bitsor-zeroes-false(18,8)
bxor-def-logic(39,22)
cast-mod-ls-most(14,7)
intshiftrsign-2pot-neg(22,12)
or-rec(6,3)
shiftright-shift(24,12)
and-notempty-05(2,1)
and-two-06(1,0)
band-associativity(18,9)
bitsand-cast(735,384)
bitsor-zeroes-samelen(6,2)
bxor-flip-one-bit(123,64)
cast-mod-ls-neg(11,6)
intshiftrsign-2pot-neg-01(29,19)
or-rec-01(2,1)
shiftright-zero(7,4)
and-notempty-06(1,0)
and-two-07(1,0)
band-bitlength(15,8)
bitsand-cast-01(57,31)
bitsor-zeroes-true(16,7)
bxor-minus-one(1,1)
cast-mod-ls-pos(9,5)
intshiftrsign-2pot-neg-02(8,5)
or-rec-02(2,1)
shiftrsign-01(0,0)
and-notempty-07(2,1)
and-two-08(1,0)
band-commutativity(2,1)
bitsand-cast-04(44,19)
bitsor-zerol(0,0)
bxor-num(2,1)
cast-mod-neg-high(81,42)
intshiftrsign-2pot-pos(9,5)
or-rec-03(2,1)
shiftrzero-def-01(0,0)
and-notempty-08(2,1)
and-two-09(1,0)
band-def(0,0)
bitsand-cast-05(49,18)
bitsor-zeror(0,0)
bxor-zero(2,1)
cast-mod-neg-low(64,34)
intshiftrsign-abs-le(20,12)
or-rec-04(2,1)
shiftzero-by-one(10,5)
and-notempty-09(2,1)
and-zero-01(1,1)
band-idempotent(2,1)
bitsand-false(1,1)
bitsxor-append-same-size(17,8)
cast-add-2pot(4,3)
cast-mod-pos-high(46,24)
intshiftrsign-band31(3,3)
or-rec-05(1,0)
shiftzero-by-one-01(10,5)
and-notone(2,0)
and-zero-02(2,1)
band-idempotent-01(2,2)
bitsand-false-01(1,1)
bitsxor-bit(3,2)
cast-add-2pot-01(3,3)
cast-mod-pos-low(31,16)
intshiftrsign-if(19,6)
or-rec-06(1,0)
shiftzero-max-neg(39,20)
and-notone-01(15,5)
and-zero-03(2,1)
band-le-zero(1,0)
bitsand-fillsgn(66,27)
bitsxor-empty(10,5)
cast-add-2pot-h(38,20)
cast-mult-2pot(4,2)
intshiftrsign-neg-01(1,1)
or-rec-07(1,0)
shiftzero-max-neg-01(30,15)
and-notone-02(2,1)
and-zerosin(22,11)
band-ls-zero-01(1,0)
bitsand-first-samesize(27,12)
bitsxor-first(6,3)
cast-band(16,9)
cast-mult-add(17,9)
intshiftrsign-neg-02(2,2)
or-rec-08(1,0)
shiftzero-minus-one(22,12)
and-notone-03(2,0)
band-011x(2,2)
band-max(70,35)
bitsand-idempotent(10,5)
bitsxor-is-orand(64,32)
cast-cast(2,1)
cast-mult-add-h(21,13)
intshiftrsign-num(2,1)
or-two(1,1)
shiftzero-not-neg(11,6)
and-one(3,2)
band-011x-eq(22,11)
band-max-01(1,0)
bitsand-len-false(12,5)
bitsxor-onel(0,0)
cast-def(0,0)
cast-mult-add-h-01(6,4)
intshiftrsign-pos-8(2,1)
or-two-01(1,1)
shiftzero-pos(62,36)
and-one-01(6,1)
band-011x-eq-01(2,1)
band-max-02(1,0)
bitsand-len-true(12,5)
bitsxor-oner(0,0)
cast-help-comm(57,33)
cast-mult-neg(12,6)
intshiftrsign-pos-num(2,1)
or-two-02(1,1)
shiftzero-rec-neg-longer(21,12)
and-onel-01(2,1)
band-011x-is-lastn(18,9)
band-max-03(1,0)
bitsand-onein(22,11)
bitsxor-rec(0,0)
cast-if(16,6)
cast-mult-neg-01(3,2)
intshiftrsign-rec-neg(28,15)
or-two-03(1,1)
shiftzero-rec-neg-shorter(28,15)
and-onel-02(1,1)
band-011x-is-unsigned(18,9)
band-max-04(4,2)
bitsand-onel(0,0)
bitsxor-rec-01(6,3)
cast-law-absorption(12,7)
cast-mult-neg-02(4,3)
intshiftrsign-rec-pos(52,25)
or-two-04(1,1)
shiftzero-zero(5,3)
and-oner(1,1)
band-011x-is-unsigned-01(6,3)
band-max-05(1,0)
bitsand-oner(0,0)
bitsxor-rec-01-01(2,1)
cast-law-add(3,3)
cast-mult-pos(12,4)
intshiftrsign-zero(1,1)
or-two-05(1,1)
shiftzero-zero-size(22,12)
and-oner-01(2,1)
band-011x-is-unsigned-03(16,9)
band-max-06(1,0)
bitsand-rec(0,0)
bitsxor-rec-02(2,1)
cast-law-add-one(16,11)
cast-neg-add(1,1)
intshiftrsign-zero-01(2,1)
or-two-06(1,1)
shiftzero-zero-size-01(4,2)
and-ones(14,5)
band-011x-is-unsigned-fix(19,10)
band-min(78,37)
bitsand-true(1,1)
bitsxor-rec-03(2,1)
cast-law-add-pos(21,14)
cast-neg-add-01(4,2)
intshiftrsign32(35,15)
or-two-07(1,1)
and-onesin(23,11)
band-011x-is-unsigned-fix-01(5,2)
band-min-01(19,11)
bitsand-zero-in(16,8)
bitsxor-rec-04(2,1)
cast-law-add-pos-01(17,10)
cast-nls(2,1)
intshiftrzero-def(0,0)
or-two-08(1,1)
and-pos(1,0)
band-011x-is-unsigned-fix-02(1,0)
band-min-02(25,15)
bitsand-zerol(0,0)
bitsxor-zerol(0,0)
cast-law-and-one(19,12)
cast-nls-01(2,1)
intshiftrzero-prop-01(50,26)
rightshift-zero(11,6)
and-rec(7,4)
band-011x-is-unsigned-fix-03(2,1)
band-minus-one(2,1)
bitsand-zeror(0,0)
bitsxor-zeror(0,0)
cast-law-comm(3,2)
cast-one(5,3)
intshiftzero-def-unbounded(2,2)
shiftleft-01(0,0)
and-rec-01(2,1)
band-011x-neg(20,8)
band-mod256-neg(11,8)
bitsand-zeros(16,7)
bitsxor-zeros(18,9)
cast-law-compl(7,6)
cast-size-fits(12,5)
intshiftzero-mone(7,4)
shiftright-abs(3,2)
and-rec-02(2,1)
band-011x-neg-01(2,1)
band-mod256-pos(4,3)
bitsand-zeros-01(12,5)
bitsxor-zeros-01(2,1)
cast-law-leftshift(3,3)
cast-size-fits-01(11,6)
longshiftleft(0,0)
shiftright-is-le(9,4)
and-rec-03(2,1)
band-011x-neg-02(2,1)
band-neg(7,3)
bitsand-zeros-02(6,2)
bor-256-plus(3,3)
cast-law-mult(3,3)
cast-sub-2pot(4,3)
longshiftright-2pot-pos(4,2)
shiftright-minus-one(7,3)
and-rec-04(2,1)
band-011x-neg-03(25,14)
band-notneg(1,0)
bitsor-app(17,9)
bor-256-plus-01(3,3)
cast-law-mult-one(17,12)
cast-zero(2,1)
longshiftright-def-unbounded(3,2)
shiftright-neg-div(47,29)