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Theorem base summary for Specification int-fac
Status:
Proved!
Axioms: 9, User Theorems: 114 (Proved: 114, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 1199, Interactions: 674
BertrandsPostulate(28,16)
binomlist-def2(0,0)
coef-neg(1,0)
coef-sub-mult(30,17)
fac-add(11,6)
fac-zero-01(2,1)
max_exp-lez(1,0)
max_exp-same(2,1)
middle-coef-max_exp-equality(16,10)
prime-product-between(6,3)
Binom-theorem(2,2)
binomlist-less(0,0)
coef-neg-03(1,0)
coef-succ(4,2)
fac-divides(2,1)
fac-zero-02(3,2)
max_exp-mult(2,1)
max_exp-smaller(1,0)
middle-coef-max_exp-le(12,7)
primes-divide(12,7)
Binom-theorem-countFun(43,26)
binomlist-rec(0,0)
coef-nls-zero(6,3)
coef-switch(3,2)
fac-le(18,9)
max_exp-def(0,0)
max_exp-mult-01(15,9)
max_exp-zero(4,2)
middle-coef-max_exp-stronger(6,4)
product-all-elems-le(19,9)
bertrand-big-primes(4,2)
coef-divides-rec(2,1)
coef-one(4,2)
coef-zero(2,1)
fac-le-one(6,3)
max_exp-div(4,2)
max_exp-not-div(16,9)
max_exp-zero-01(2,1)
middle-coef-not-one(4,3)
product-pot-no-dups(26,13)
bertrand-estimate(15,10)
coef-divides-rec-lower(2,1)
coef-pred-01(4,2)
countFun-add(11,7)
fac-le-zero(1,1)
max_exp-div-not(15,7)
max_exp-not-neg(3,2)
max_exp-zero-02(4,2)
middle-coef-not-one-01(5,3)
product-pot-rec(10,3)
bertrand-holds-lower(24,12)
coef-eq-zero(7,4)
coef-product-le(12,6)
countFun-pot(15,8)
fac-ls-zero(2,1)
max_exp-divides(9,6)
max_exp-one(1,0)
middle-coef-divides-not(13,8)
prime-divides-coef(18,11)
small-primes(20,10)
bertrand-middle-coef-smaller(42,22)
coef-fac-divides(12,6)
coef-rec(2,1)
countFun-pot-01(13,8)
fac-not-neg(6,3)
max_exp-fac-01(10,5)
max_exp-pos(1,1)
middle-coef-larger(6,3)
prime-divides-pot(10,4)
bertrand-middle-primes(25,16)
coef-fac-divides-h(13,10)
coef-rec-add-01(25,14)
countFun-shift(23,13)
fac-not-zero(2,1)
max_exp-fac-add(12,6)
max_exp-pos-01(2,1)
middle-coef-larger-stronger(6,3)
prime-divides-pot-01(10,4)
bertrand-prime-factors(25,12)
coef-gcd(4,2)
coef-rec-add-02(1,1)
divides-pot(2,1)
fac-one(1,1)
max_exp-fac-gen(47,27)
max_exp-pos-02(1,1)
middle-coef-larger-strongest(35,19)
prime-fac-divides(8,4)
bertrand-small-primes(18,9)
coef-le-2pot(21,14)
coef-rec-lower(2,1)
divides-sum(5,3)
fac-pos(1,0)
max_exp-fac-gen-stronger(4,2)
max_exp-pos-03(4,3)
middle-coef-largest(9,5)
prime-fac-divides-01(2,1)
binom-def(0,0)
coef-le-zero(1,0)
coef-same(2,1)
est-4-big(9,5)
fac-pos-01(6,3)
max_exp-fac-rec(21,13)
max_exp-pos-04(2,1)
middle-coef-largest-01(17,10)
prime-fac-divides-not(6,4)
binom-less(0,0)
coef-mult-rec(20,14)
coef-same-01(2,1)
est-4-big-01(11,6)
fac-rec(0,0)
max_exp-fac-same(5,3)
max_exp-primes-two(4,2)
middle-coef-max_exp(34,21)
prime-pot-eq(17,11)
binomlist-def(0,0)
coef-mult-rec-lower(28,19)
coef-sub(4,2)
est-4-big-02(11,7)
fac-zero(0,0)
max_exp-fac-smaller(7,4)
max_exp-rec(5,3)
middle-coef-max_exp-big-primes(30,15)
prime-product(36,21)