[Imprint]
[Data Privacy Statement]
[E-Mail]
Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem base summary for Specification int-gcd
Status:
Proved!
Axioms: 7, User Theorems: 181 (Proved: 181, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 1471, Interactions: 790
abs-gcd-not-less(2,1)
div-gcd-is-neg(5,2)
div-one-one(6,3)
divides-neg(9,5)
gcd-div2(0,0)
gcd-nls-01(3,1)
gcd-same-02(2,1)
max_prime_divisor-ge2(16,8)
prime-163(12,7)
prime-not-neg(3,1)
abs-not-less(2,0)
div-gcd-is-neg-01(5,3)
div-one-one-neg(6,3)
divides-prime(21,10)
gcd-divides(2,1)
gcd-nls-zero(3,1)
gcd-zero(0,0)
max_prime_divisor-nle(5,2)
prime-23(11,6)
prime-not-neg-01(3,1)
case-10(15,7)
div-gcd-is-neg-01-01(6,3)
div-one-pos(2,0)
exgcd-div(6,4)
gcd-divides-01(3,1)
gcd-one(16,7)
gcd-zero-02(3,1)
max_prime_divisor-nle-01(7,3)
prime-317(9,5)
prime-not-odd(3,1)
case-20(19,9)
div-gcd-neg-not-zero(5,2)
div-same(3,2)
gcd-abs(2,0)
gcd-divides-both(16,8)
gcd-one-01(2,1)
gcd-zero-03(2,0)
max_prime_divisor-nle-zero(5,2)
prime-43(15,8)
prime-odd(5,2)
case-30(19,9)
div-gcd-not-neg(4,2)
div-zero(3,2)
gcd-abs-rew(3,2)
gcd-divides-both-h(11,5)
gcd-one-eq(12,6)
gcd-zero-04(5,3)
max_prime_divisor-nle-zero-01(3,1)
prime-5(10,6)
prime-odd-01(7,3)
case-40(19,9)
div-gcd-one(2,1)
div-zero-zero(3,1)
gcd-abs-rew-01(3,2)
gcd-ge-one(2,0)
gcd-one-eq-01(4,3)
gcd-zero-05(11,8)
max_prime_divisor-nls(7,3)
prime-631(11,6)
prime-one(3,1)
coprime-divides(5,2)
div-gcd-zero(5,3)
divides(0,0)
gcd-abs-rew-02(20,11)
gcd-less(3,1)
gcd-one-eq-02(5,3)
gcd-zero-zero(3,1)
max_prime_divisor-nls-01(4,2)
prime-7(9,5)
prime-small(3,1)
coprime-divides-01(7,4)
div-mod(6,5)
divides-abs(2,1)
gcd-add(4,2)
gcd-less-eq-zero(2,0)
gcd-one-prime(5,2)
gcdex(20,18)
max_prime_divisor-nls-02(21,10)
prime-83(7,4)
prime-three(5,3)
coprime-divides-02(3,1)
div-mod-01(10,5)
divides-abs-01(8,3)
gcd-com(14,7)
gcd-max(0,0)
gcd-pos(3,1)
gcdex-not-unique(5,2)
max_prime_divisor-nls-03(9,4)
prime-abs(2,0)
prime-two(5,1)
coprime-divides-03(3,1)
div-mod-zero(3,1)
divides-abs-02(14,9)
gcd-conq-one(23,15)
gcd-max-prop(4,3)
gcd-prime(7,2)
gcdex-pos(17,9)
max_prime_divisor-nls-zero(5,3)
prime-def(0,0)
prime-two-01(2,1)
div-abs(5,3)
div-mod-zero-01(3,1)
divides-add(10,4)
gcd-conq-one-01(6,4)
gcd-mod-one(14,8)
gcd-primes(7,3)
gcdex-smallest-pos(10,5)
max_prime_divisor-not-zero(3,1)
prime-def-mod(18,9)
square-neq-any(10,6)
div-abs-01(8,4)
div-mult(3,1)
divides-minus(2,0)
gcd-div-eq(5,2)
gcd-mod-one-01(6,3)
gcd-rec(40,25)
gcdhex(24,14)
max_prime_divisor-prime(5,2)
prime-def-prime(30,13)
square-neq-any-pos(12,6)
div-abs-02(11,6)
div-mult-01(2,0)
divides-mod(4,2)
gcd-div-gcd(6,4)
gcd-mult(9,6)
gcd-rec-pos(2,1)
max_prime_divisor-abs(2,0)
mod-gcd(6,3)
prime-divides(5,2)
square-neq-any-pos-01(19,14)
div-abs-03(2,1)
div-mult-div(3,1)
divides-mone(4,2)
gcd-div-gcd-pos(22,13)
gcd-mult-01(3,2)
gcd-rec-sub(11,5)
max_prime_divisor-abs-01(2,0)
mod-gcd-01(8,4)
prime-divides-01(3,1)
square-neq-any-pos-02(62,41)
div-abs-04(6,3)
div-mult-shift(3,1)
divides-mult(3,2)
gcd-div-mult(3,1)
gcd-mult-pos(31,16)
gcd-rec-sub-01(51,40)
max_prime_divisor-def(0,0)
not-less-gcd(3,1)
prime-divides-one(3,1)
square-neq-pos(21,14)
div-div(5,2)
div-neg(9,5)
divides-mult-01(3,1)
gcd-div-mult-shift(5,2)
gcd-mult-pos-01(2,0)
gcd-rec-sub-02(3,0)
max_prime_divisor-divides(5,2)
num-gcd-pos(3,1)
prime-ex-max(15,8)
square-neq-pos-h(13,9)
div-div-01(5,2)
div-not-ls(3,1)
divides-mult-02(5,2)
gcd-div-rest(9,5)
gcd-neg(6,3)
gcd-rec-sub-03(62,50)
max_prime_divisor-divides-01(3,1)
prime-11(9,5)
prime-le-2(2,0)
square-neq-prime(13,6)
div-eq(3,1)
div-one(2,1)
divides-mult-add(3,1)
gcd-div-shift(3,1)
gcd-negone-eq(6,4)
gcd-same(4,3)
max_prime_divisor-divides-02(7,4)
prime-1259(13,7)
prime-mult-not(5,1)
div-eq-one(3,1)
div-one-neg-pos(2,0)
divides-mult-sub(4,3)
gcd-div1(0,0)
gcd-nls(5,3)
gcd-same-01(2,1)
max_prime_divisor-divides-03(9,5)
prime-13(9,5)
prime-not-four(5,2)