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Theorem base summary for Specification int-div
Status:
Proved!
Axioms: 4, User Theorems: 463 (Proved: 463, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 2333, Interactions: 1107
Div-def(0,0)
div-elim-pospos(2,0)
div-mult-nls-est-01(4,2)
div-zero-05(2,1)
ls(6,2)
mod-ls-same(4,2)
mod-pred-neg(12,4)
modby6-help(24,13)
modmod-mult-08(1,0)
one-02(1,0)
Div-left(0,0)
div-elim1(2,1)
div-mult-nls-zero(2,1)
div-zero-06(1,0)
ls-01(7,2)
mod-ls-same-01(21,10)
mod-pred-neg-01(8,2)
modeq-neg(6,2)
modmod-mult-09(5,4)
one-03(1,0)
Div-right(0,0)
div-elim2(4,2)
div-mult-num(3,1)
div-zero-ngr(2,0)
ls-02(10,4)
mod-ls-same-02(20,7)
mod-rec(8,2)
modeq-neg-02(14,8)
modmod-pos(16,7)
one-04(1,0)
Mod-def(0,0)
div-elim3(2,1)
div-mult-num-01(2,0)
div-zero-ngr-01(2,1)
ls-03(1,1)
mod-ls-zero(3,1)
mod-rec-01(7,3)
modeq-pos(4,2)
modnum-neg(2,0)
one-05(1,0)
abs(8,3)
div-eq-same(10,5)
div-mult-pos(1,0)
div-zero-nls(2,1)
ls-even(1,0)
mod-lsz(4,1)
mod-rew(1,0)
modeq-pos-01(1,1)
modnum-neg-01(2,0)
one-06(1,0)
abs-01(1,0)
div-eq-same-01(20,8)
div-mult-pos-01(2,1)
div-zero-nls-01(2,1)
ls-even-01(27,16)
mod-lsz-01(2,1)
mod-same(2,1)
modeq-pos-02(4,2)
mult(1,0)
one-lez(1,0)
abs-02(1,0)
div-eq-zero(6,2)
div-mult-pos-02(1,0)
div2-add-neg(12,5)
ls-same-pos(2,1)
mod-mod-less(2,1)
mod-shift(6,3)
modeq-pos-03(5,2)
mult-01(1,1)
one-neg(11,5)
abs-03(1,0)
div-eq-zero-01(29,14)
div-mult-pos-03(1,0)
div2-neg(1,0)
ls-same-pos-01(2,1)
mod-mult(1,1)
mod-sub(3,3)
modeq-pos-04(2,1)
mult-02(8,4)
one-pos(2,1)
abs-div10-le(2,1)
div-est-denom-pos(6,2)
div-mult-pos-rew(1,0)
div2-neg-01(2,1)
ls-same-pos-02(2,1)
mod-mult-01(1,0)
mod-sub-01(3,3)
modeven-neg(7,4)
mult-03(5,4)
pdiv-ls(2,1)
abs-intro(2,1)
div-est-nle-pos(4,1)
div-mult-rew(1,0)
div2-neg-odd(3,2)
ls-succ(2,1)
mod-mult-02(2,1)
mod-sub-02(3,2)
modeven-neg-01(2,1)
mult-04(1,0)
pos(1,0)
abs-shift(14,7)
div-est-nls(6,1)
div-mult-rew-01(1,0)
div2-nle(1,0)
lsf(2,1)
mod-mult-03(1,0)
mod-succ(1,0)
modeven-pos(2,1)
mult-05(2,1)
prod-div-less(10,6)
abs-shift-01(6,3)
div-est-num(12,4)
div-mult-shift-holds(7,4)
div2-nle-01(1,0)
lsf-01(2,1)
mod-mult-04(2,1)
mod-succ-01(6,2)
modex(10,6)
mult-div-switch(1,0)
prod-div-less-01(1,0)
add-div-mult(13,9)
div-le-modnotzero(9,4)
div-mult-three(1,0)
div2-nle-02(8,4)
lsf-02(2,1)
mod-mult-neg(4,4)
mod-succ-02(2,0)
modex-odd(4,2)
mult-ls(10,3)
quad-div-less(1,0)
div-abs(2,1)
div-le-modnotzero-01(3,2)
div-mult-three-nls(17,14)
div2-nls(17,9)
lsfc(1,1)
mod-mult-neg-01(3,3)
mod-three(1,0)
modex-odd-neg(9,5)
mult-ls-01(10,3)
square-even(2,1)
div-add-both(6,3)
div-le-modzero(5,3)
div-mult-two-nls(1,0)
div2-nls-01(2,1)
lsfc-01(2,1)
mod-mult-neg-02(6,2)
mod-two(1,0)
modex-odd-neg-01(9,4)
mult-split-mod(6,3)
square-even-01(1,1)
div-add-neg(7,2)
div-le-modzero-01(3,2)
div-mult-two-nls-01(13,9)
div2-nls-02(17,9)
lsfc-02(2,1)
mod-mult-neg-03(1,0)
mod-two-01(1,0)
modmod(1,1)
mult-split-mod-02(1,0)
square-even-02(3,3)
div-add-nosucc(9,3)
div-le-pos(16,6)
div-nearer-zero(20,13)
div2-nls-03(2,1)
lstwozero(1,0)
mod-mult-pos(5,3)
mod-two-02(1,0)
modmod-add(10,3)
neg(1,0)
square-inject(17,10)
div-add-nosucc-neg(5,4)
div-le-same(2,1)
div-ngr-zero(4,1)
div2-notzero(4,1)
minus-add(3,2)
mod-mult-pos-01(4,1)
mod-two-03(2,1)
modmod-add-01(4,2)
neg-01(1,0)
square-interval(12,10)
div-add-pos(7,2)
div-le-same-neg(7,2)
div-nle(1,0)
div2-odd(1,0)
mod-abs(2,1)
mod-mult-pos-02(1,0)
mod-two-04(1,0)
modmod-add-02(2,1)
neqf(1,0)
square-ls(2,1)
div-add-rew(1,0)
div-lezero(8,2)
div-nls(1,0)
div2-odd-01(4,3)
mod-abs-intro(2,1)
mod-neg(2,1)
mod-two-05(1,0)
modmod-add-03(4,2)
nls-mult-div(8,5)
square-ls-01(4,3)
div-add-succ(12,8)
div-ls(8,4)
div-nls-01(3,2)
div2-one(1,0)
mod-add(2,1)
mod-neg-01(2,1)
mod-two-06(2,1)
modmod-add-04(11,4)
num-ls(5,1)
square-ls-02(5,5)
div-add-succ-neg(5,4)
div-ls-01(1,1)
div-rec(8,2)
div2-zero(4,3)
mod-add-01(8,3)
mod-neq(10,5)
mod-two-pred(1,0)
modmod-add-case(18,9)
num-neg(2,0)
square-nle(16,10)
div-add1-negneg(1,0)
div-ls-02(2,1)
div-rec-01(5,3)
div2one(2,1)
mod-add-both-zero(4,2)
mod-neq-01(4,3)
mod-two-pred-01(4,2)
modmod-add-if(18,2)
num-neg-01(2,0)
square-nle-01(2,1)
div-add1-negpos-neg(1,0)
div-ls-modnotzero(3,2)
div-same(4,2)
div2one-01(4,2)
mod-add-neg(7,2)
mod-neq-02(1,0)
mod-two-pred-02(4,3)
modmod-add-if3(19,1)
nummult-eq(2,0)
square-nle-02(3,2)
div-add1-negpos-neg-01(15,6)
div-ls-modzero(2,1)
div-shift-two(13,7)
div2zero(1,0)
mod-add-pos(7,2)
mod-next-square(13,8)
mod-twoeven(2,1)
modmod-add-law(3,3)
nummult-eq-01(3,1)
square-nls(12,8)
div-add1-negpos-neg-02(2,2)
div-ls-mone(22,12)
div-sub(3,2)
div53(1,0)
mod-add-zero(14,9)
mod-ngez(1,0)
mod-twoodd(3,2)
modmod-add-law-pos(19,16)
nummult-le(9,3)
square-nls-01(3,2)
div-add1-negpos-pos(4,0)
div-ls-pos-better(1,1)
div-sub-01(4,2)
diveq-neg(4,2)
mod-add1-negneg(1,0)
mod-ngez-01(1,0)
mod-twoodd-01(3,2)
modmod-add-zero(18,11)
nummult-le-01(14,7)
square-nls-02(2,1)
div-add1-posneg-neg(10,3)
div-ls-pos-mon(2,1)
div-sum-ls(11,9)
diveq-pos(6,3)
mod-add1-negpos-neg(15,6)
mod-ngr(1,0)
mod-twoodd-02(2,1)
modmod-add2-negpos-neg(6,4)
nummult-le-01-01(2,1)
sub-ls(1,0)
div-add1-posneg-pos(1,0)
div-ls-same(17,7)
div-sum-ls-01(1,1)
divmod-rew(2,1)
mod-add1-negpos-pos(4,0)
mod-nle(2,0)
mod-twoodd-03(5,4)
modmod-add2-negpos-pos(2,1)
nummult-le-02(12,4)
sub-ls-01(2,0)
div-add1-posneg-pos-01(15,6)
div-ls-zero(9,4)
div-two(1,0)
divmult(2,1)
mod-add1-posneg-neg(8,2)
mod-nle-01(1,0)
mod-zero(1,0)
modmod-add2-negpos-pos-01(6,4)
nummult-le-02-01(2,1)
three(1,0)
div-add1-posneg-pos-02(5,3)
div-minus-onediff(10,5)
div-two-01(1,0)
estimate-01(8,5)
mod-add1-posneg-pos(13,5)
mod-nle-02(3,1)
mod-zero-01(4,2)
modmod-add2-negpos-pos-02(1,0)
nummult-le-03(9,3)
two-add-square(1,1)
div-add1-pospos(1,0)
div-minus-onediff-01(17,8)
div-two-intro(25,14)
even-add(34,17)
mod-add1-pospos(1,0)
mod-nls(1,0)
mod-zero-02(1,0)
modmod-add2-posneg-neg(6,4)
nummult-le-03-01(2,1)
two-add-square-01(1,1)
div-addthree-rew(13,5)
div-minus255-256(2,1)
div-two-zero(1,0)
even-mult(13,9)
mod-by6(16,8)
mod-nls-01(2,1)
mod-zero-03(1,0)
modmod-add2-posneg-neg-01(6,4)
nummult-le-04(2,1)
two-even(1,0)
div-am-rew(6,3)
div-minus255-256-01(2,1)
div-two-zero-01(2,1)
even-not(4,2)
mod-div-ls(13,10)
mod-nls-02(3,2)
mod-zero-04(2,1)
modmod-add2-posneg-neg-02(1,0)
nummult-ls(19,6)
two-mult(1,1)
div-div(17,9)
div-mone(1,0)
div-twoodd(1,0)
even-not-ex(6,4)
mod-div-zero(11,5)
mod-nls-03(1,0)
mod-zero-05(4,1)
modmod-add2-posneg-pos(6,3)
nummult-ls-01(5,1)
two-mult-01(1,0)
div-div-intro(1,0)
div-mone-01(1,0)
div-twoodd-01(3,3)
even-or-succ-even(2,1)
mod-four(1,1)
mod-nls-04(13,8)
mod-zero-06(6,2)
modmod-law-mult(2,1)
nummult-ls-01-01(2,1)
two-odd(2,1)
div-div-num(2,0)
div-mult(1,0)
div-twoodd-02(5,5)
exeven(3,2)
mod-gez(2,1)
mod-nls-05(2,1)
mod-zero-07(3,0)
modmod-ma(8,4)
nummult-ls-02(5,2)
zero(3,2)
div-div-pos(2,0)
div-mult-01(25,15)
div-twoodd-03(4,4)
exodd(2,1)
mod-grz(2,0)
mod-nls-06(6,4)
mod-zero-08(2,0)
modmod-ma-01(3,2)
nummult-ls-02-01(2,1)
zero-01(1,0)
div-div-pred(23,11)
div-mult-02(5,3)
div-twoodd-04(4,4)
is-div(2,1)
mod-grz-01(4,1)
mod-not-less(2,0)
mod-zero-09(2,1)
modmod-ma-negpos-neg(7,5)
nummult-ls-03(17,8)
zero-02(2,1)
div-div-pred-01(30,16)
div-mult-03(2,1)
div-twoodd-05(5,4)
le-abs-numerator(27,15)
mod-grz-02(2,0)
mod-one(1,1)
mod-zero-ls(2,1)
modmod-mult(5,3)
nummult-ls-03-01(2,1)
zero-03(2,1)
div-div-switch(2,1)
div-mult-le(1,0)
div-twoodd-06(2,1)
le-norest(4,2)
mod-le(1,0)
mod-one-01(1,0)
mod-zero-num(3,1)
modmod-mult-01(4,2)
nummult-ls-04(2,1)
zero-04(10,2)
div-elim(2,1)
div-mult-le-01(2,0)
div-twoodd-07(9,8)
leone-two(10,5)
mod-le-01(1,0)
mod-pos-not-neg(1,0)
mod-zero-one(17,11)
modmod-mult-02(11,6)
nummult-modle(3,0)
zero-05(4,2)
div-elim-divides(1,0)
div-mult-ls(6,3)
div-zero(1,0)
less-mult-div(1,0)
mod-le-num(3,1)
mod-pred(2,0)
mod2-add-neg(10,5)
modmod-mult-03(10,5)
nummult-modle-01(3,1)
zero-06(2,0)
div-elim-negneg(6,2)
div-mult-ls-pos(1,0)
div-zero-01(2,0)
less-mult-div-01(15,8)
mod-les(4,1)
mod-pred-01(2,0)
mod2-neg-odd(2,1)
modmod-mult-04(6,3)
nummult-modls(3,0)
zero-07(2,1)
div-elim-negpos(2,0)
div-mult-neg(5,4)
div-zero-02(7,4)
less-mult-div-02(1,0)
mod-less(1,0)
mod-pred-02(12,4)
mod256(1,0)
modmod-mult-05(3,2)
nummult-modls-01(3,1)
div-elim-pos(4,2)
div-mult-nle-est(4,2)
div-zero-03(2,0)
letwo(1,0)
mod-less-01(1,0)
mod-pred-03(4,1)
mod53(1,0)
modmod-mult-06(1,0)
one(3,2)
div-elim-posneg(4,1)
div-mult-nls-est(4,2)
div-zero-04(2,0)
letwozero(2,2)
mod-lezero(4,1)
mod-pred-04(2,0)
mod62(1,0)
modmod-mult-07(18,14)
one-01(2,1)