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Theorem base summary for Specification int-div
Status:
Proved!
Axioms: 4, User Theorems: 460 (Proved: 460, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 2775, Interactions: 1124
Div-def(0,0)
div-elim1(4,1)
div-mult-num(3,1)
div-zero-ngr(3,0)
ls-02(11,4)
mod-ls-same-02(21,7)
mod-rec-01(8,3)
modeq-pos(5,2)
modnum-neg(2,0)
one-05(2,0)
Div-left(0,0)
div-elim2(5,2)
div-mult-num-01(2,0)
div-zero-ngr-01(3,1)
ls-03(2,1)
mod-ls-zero(3,1)
mod-rew(2,0)
modeq-pos-01(2,1)
modnum-neg-01(2,0)
one-06(2,0)
Div-right(0,0)
div-elim3(3,1)
div-mult-pos(2,0)
div-zero-nls(3,1)
ls-even(2,0)
mod-lsz(5,1)
mod-same(3,1)
modeq-pos-02(5,2)
mult(5,2)
one-lez(2,0)
Mod-def(0,0)
div-eq-same(11,5)
div-mult-pos-01(3,1)
div-zero-nls-01(3,1)
ls-even-01(30,17)
mod-lsz-01(3,1)
mod-shift(7,3)
modeq-pos-03(6,2)
mult-01(2,1)
one-neg(12,5)
abs(9,3)
div-eq-same-01(23,9)
div-mult-pos-02(2,0)
div2-add-neg(13,5)
ls-same-pos(3,1)
mod-mod-less(3,1)
mod-sub(4,3)
modeq-pos-04(3,1)
mult-02(9,4)
one-pos(3,1)
abs-01(2,0)
div-eq-zero(7,2)
div-mult-pos-03(2,0)
div2-neg(2,0)
ls-same-pos-01(3,1)
mod-mult(2,1)
mod-sub-01(4,3)
modeven-neg(8,4)
mult-03(5,3)
pdiv-ls(3,1)
abs-02(2,0)
div-eq-zero-01(29,14)
div-mult-pos-rew(2,0)
div2-neg-01(3,1)
ls-same-pos-02(3,1)
mod-mult-01(2,0)
mod-sub-02(4,2)
modeven-neg-01(3,1)
mult-04(2,0)
pos(2,0)
abs-03(2,0)
div-est-denom-pos(7,2)
div-mult-rew(2,0)
div2-neg-odd(4,2)
ls-succ(3,1)
mod-mult-02(3,1)
mod-succ(2,0)
modeven-pos(3,1)
mult-05(3,1)
prod-div-less(11,6)
abs-intro(3,1)
div-est-nle-pos(5,1)
div-mult-rew-01(2,0)
div2-nle(2,0)
lsf(3,1)
mod-mult-03(2,0)
mod-succ-01(7,2)
modex(10,6)
mult-div-switch(2,0)
prod-div-less-01(2,0)
abs-shift(15,7)
div-est-nls(7,1)
div-mult-shift-holds(10,5)
div2-nle-01(2,0)
lsf-01(3,1)
mod-mult-04(3,1)
mod-succ-02(3,0)
modex-odd(4,2)
mult-ls(11,3)
quad-div-less(2,0)
abs-shift-01(7,3)
div-est-num(13,4)
div-mult-three(2,0)
div2-nle-02(9,4)
lsf-02(3,1)
mod-mult-neg(5,4)
mod-three(2,0)
modex-odd-neg(11,6)
mult-ls-01(11,3)
square-even(3,1)
add-div-mult(14,9)
div-le-modnotzero(10,4)
div-mult-three-nls(18,14)
div2-nls(18,9)
lsfc(2,1)
mod-mult-neg-01(4,3)
mod-two(2,0)
modex-odd-neg-01(9,4)
mult-split-mod(7,3)
square-even-01(2,1)
div-abs(3,1)
div-le-modnotzero-01(4,2)
div-mult-two-nls(2,0)
div2-nls-01(3,1)
lsfc-01(3,1)
mod-mult-neg-02(7,2)
mod-two-01(2,0)
modmod(2,1)
mult-split-mod-02(2,0)
square-even-02(4,3)
div-add-both(5,2)
div-le-modzero(6,3)
div-mult-two-nls-01(15,9)
div2-nls-02(18,9)
lsfc-02(3,1)
mod-mult-neg-03(2,0)
mod-two-02(2,0)
modmod-add(11,3)
neg(2,0)
square-inject(18,10)
div-add-neg(12,6)
div-le-modzero-01(4,2)
div-nearer-zero(21,13)
div2-nls-03(3,1)
lstwozero(2,0)
mod-mult-pos(6,3)
mod-two-03(3,1)
modmod-add-01(5,2)
neg-01(2,0)
square-interval(15,11)
div-add-nosucc(10,3)
div-le-pos(17,6)
div-ngr-zero(5,1)
div2-notzero(5,1)
minus-add(4,2)
mod-mult-pos-01(5,1)
mod-two-04(2,0)
modmod-add-02(3,1)
neqf(2,0)
square-ls(3,1)
div-add-nosucc-neg(6,4)
div-le-same(3,1)
div-nle(2,0)
div2-odd(2,0)
mod-abs(3,1)
mod-mult-pos-02(2,0)
mod-two-05(2,0)
modmod-add-03(5,2)
nls-mult-div(9,5)
square-ls-01(5,3)
div-add-pos(8,2)
div-le-same-neg(10,3)
div-nls(2,0)
div2-odd-01(5,3)
mod-abs-intro(3,1)
mod-neg(3,1)
mod-two-06(3,1)
modmod-add-04(12,4)
num-ls(5,1)
square-ls-02(6,5)
div-add-rew(2,0)
div-lezero(11,2)
div-nls-01(4,2)
div2-one(2,0)
mod-add(3,1)
mod-neg-01(3,1)
mod-two-pred(2,0)
modmod-add-case(19,9)
num-neg(2,0)
square-nle(17,10)
div-add-succ(13,8)
div-ls(9,4)
div-rec(9,2)
div2-zero(5,3)
mod-add-01(9,3)
mod-neq(11,5)
mod-two-pred-01(5,2)
modmod-add-if(19,2)
num-neg-01(2,0)
square-nle-01(3,1)
div-add-succ-neg(6,4)
div-ls-01(2,1)
div-rec-01(6,3)
div2one(3,1)
mod-add-both-zero(5,2)
mod-neq-01(5,3)
mod-two-pred-02(5,3)
modmod-add-if3(20,1)
nummult-eq(2,0)
square-nle-02(4,2)
div-add1-negneg(2,0)
div-ls-02(3,1)
div-same(5,2)
div2one-01(5,2)
mod-add-neg(8,2)
mod-neq-02(2,0)
mod-twoeven(3,1)
modmod-add-law(4,3)
nummult-eq-01(3,1)
square-nls(13,8)
div-add1-negpos-neg(2,0)
div-ls-modnotzero(4,2)
div-shift-two(14,7)
div2zero(2,0)
mod-add-pos(8,2)
mod-next-square(14,8)
mod-twoodd(4,2)
modmod-add-law-pos(20,16)
nummult-le(9,3)
square-nls-01(4,2)
div-add1-negpos-neg-01(14,5)
div-ls-modzero(3,1)
div-sub(4,2)
div53(2,0)
mod-add-zero(15,9)
mod-ngez-01(2,0)
mod-twoodd-01(4,2)
modmod-add-zero(19,11)
nummult-le-01(14,7)
square-nls-02(3,1)
div-add1-negpos-neg-02(7,3)
div-ls-mone(16,7)
div-sub-01(5,2)
diveq-neg(5,2)
mod-add1-negneg(2,0)
mod-ngr(2,0)
mod-twoodd-02(3,1)
modmod-add2-negpos-neg(7,4)
nummult-le-01-01(2,1)
sub-ls(2,0)
div-add1-negpos-pos(5,0)
div-ls-pos-better(2,1)
div-sum-ls(13,10)
diveq-pos(7,3)
mod-add1-negpos-neg(14,5)
mod-nle(3,0)
mod-twoodd-03(6,4)
modmod-add2-negpos-pos(3,1)
nummult-le-02(14,5)
sub-ls-01(3,0)
div-add1-posneg-neg(9,2)
div-ls-same(18,7)
div-sum-ls-01(2,1)
divmod-rew(3,1)
mod-add1-negpos-pos(5,0)
mod-nle-01(2,0)
mod-zero(2,0)
modmod-add2-negpos-pos-01(7,4)
nummult-le-02-01(2,1)
three(2,0)
div-add1-posneg-pos(2,0)
div-ls-zero(13,6)
div-two(2,0)
divmult(3,1)
mod-add1-posneg-neg(9,2)
mod-nle-02(4,1)
mod-zero-01(5,2)
modmod-add2-negpos-pos-02(2,0)
nummult-le-03(9,3)
two-add-square(2,1)
div-add1-posneg-pos-01(14,5)
div-minus-onediff(9,5)
div-two-01(2,0)
estimate-01(9,5)
mod-add1-posneg-pos(13,4)
mod-nls(2,0)
mod-zero-02(2,0)
modmod-add2-posneg-neg(7,4)
nummult-le-03-01(2,1)
two-add-square-01(2,1)
div-add1-posneg-pos-02(6,3)
div-minus-onediff-01(18,8)
div-two-intro(26,14)
even-add(25,13)
mod-add1-pospos(2,0)
mod-nls-01(3,1)
mod-zero-03(2,0)
modmod-add2-posneg-neg-01(7,4)
nummult-le-04(2,1)
two-even(2,0)
div-add1-pospos(2,0)
div-minus255-256(3,1)
div-two-zero(2,0)
even-mult(11,7)
mod-by6(17,8)
mod-nls-02(4,2)
mod-zero-04(3,1)
modmod-add2-posneg-neg-02(2,0)
nummult-ls(19,6)
two-mult(2,1)
div-addthree-rew(9,1)
div-minus255-256-01(3,1)
div-two-zero-01(3,1)
even-not(5,2)
mod-div-ls(14,10)
mod-nls-03(2,0)
mod-zero-05(5,1)
modmod-add2-posneg-pos(7,3)
nummult-ls-01(5,1)
two-mult-01(2,0)
div-am-rew(7,3)
div-mone(2,0)
div-twoodd(2,0)
even-not-ex(6,4)
mod-div-zero(12,5)
mod-nls-04(18,11)
mod-zero-06(7,2)
modmod-law-mult(3,1)
nummult-ls-01-01(2,1)
two-odd(3,1)
div-div(18,9)
div-mone-01(2,0)
div-twoodd-01(5,4)
even-or-succ-even(3,1)
mod-four(2,1)
mod-nls-05(3,1)
mod-zero-07(3,0)
modmod-ma(9,4)
nummult-ls-02(5,2)
zero(6,3)
div-div-intro(2,0)
div-mult(2,0)
div-twoodd-02(6,5)
exeven(3,2)
mod-gez(3,1)
mod-nls-06(7,4)
mod-zero-08(2,0)
modmod-ma-01(4,2)
nummult-ls-02-01(2,1)
zero-01(2,0)
div-div-num(2,0)
div-mult-01(26,15)
div-twoodd-03(5,4)
exodd(2,1)
mod-grz(3,0)
mod-not-less(3,0)
mod-zero-09(3,1)
modmod-ma-negpos-neg(8,5)
nummult-ls-03(17,8)
zero-02(3,1)
div-div-pos(3,0)
div-mult-02(6,3)
div-twoodd-04(5,4)
is-div(3,1)
mod-grz-01(5,1)
mod-one(2,1)
mod-zero-ls(3,1)
modmod-mult(18,8)
nummult-ls-03-01(2,1)
zero-03(3,1)
div-div-pred(24,11)
div-mult-03(3,1)
div-twoodd-05(6,4)
le-abs-numerator(27,15)
mod-grz-02(3,0)
mod-one-01(2,0)
mod-zero-num(3,1)
modmod-mult-01(5,2)
nummult-ls-04(2,1)
zero-04(11,2)
div-div-pred-01(31,16)
div-mult-le(2,0)
div-twoodd-06(3,1)
le-norest(5,2)
mod-le(2,0)
mod-pos-not-neg(2,0)
mod-zero-one(18,11)
modmod-mult-02(12,6)
nummult-modle(3,0)
zero-05(5,2)
div-div-switch(3,1)
div-mult-le-01(3,0)
div-twoodd-07(10,8)
leone-two(11,5)
mod-le-01(2,0)
mod-pred(3,0)
mod2-add-neg(11,5)
modmod-mult-03(11,5)
nummult-modle-01(3,1)
zero-06(3,0)
div-elim(3,1)
div-mult-ls(7,3)
div-zero(2,0)
less-mult-div(2,0)
mod-le-num(3,1)
mod-pred-01(3,0)
mod2-neg-odd(3,1)
modmod-mult-04(7,3)
nummult-modls(3,0)
zero-07(3,1)
div-elim-divides(2,0)
div-mult-ls-pos(2,0)
div-zero-01(3,0)
less-mult-div-01(27,18)
mod-les(5,1)
mod-pred-02(13,4)
mod256(2,0)
modmod-mult-05(4,2)
nummult-modls-01(3,1)
div-elim-negneg(7,2)
div-mult-neg(6,4)
div-zero-02(10,5)
less-mult-div-02(2,0)
mod-less(2,0)
mod-pred-03(5,1)
mod53(2,0)
modmod-mult-06(2,0)
one(4,2)
div-elim-negpos(3,0)
div-mult-nle-est(5,2)
div-zero-03(3,0)
letwo(2,0)
mod-less-01(2,0)
mod-pred-04(3,0)
mod62(2,0)
modmod-mult-07(19,14)
one-01(3,1)
div-elim-pos(5,2)
div-mult-nls-est(5,2)
div-zero-04(2,0)
letwozero(2,1)
mod-lezero(5,1)
mod-pred-neg(13,4)
modby6-help(25,13)
modmod-mult-08(2,0)
one-02(2,0)
div-elim-posneg(9,3)
div-mult-nls-est-01(5,2)
div-zero-05(3,1)
ls(7,2)
mod-ls-same(5,2)
mod-pred-neg-01(9,2)
modeq-neg(7,2)
modmod-mult-09(6,4)
one-03(2,0)
div-elim-pospos(3,0)
div-mult-nls-zero(3,1)
div-zero-06(2,0)
ls-01(8,2)
mod-ls-same-01(25,12)
mod-rec(9,2)
modeq-neg-02(15,8)
modmod-pos(17,7)
one-04(2,0)