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Theorem base summary for Specification int-gcd
Status:
Proved!
Axioms: 7, User Theorems: 192 (Proved: 192, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 1475, Interactions: 897
abs-gcd-not-less(1,1)
div-eq(2,1)
div-one-neg-pos(1,0)
divides-neg(8,5)
gcd-div2(0,0)
gcd-nls-zero(2,1)
gcd-zero-02(2,1)
max_prime_divisor-nle(4,2)
prime-163(11,7)
prime-not-four(4,2)
abs-not-less(1,0)
div-eq-one(2,1)
div-one-one(5,3)
divides-pot-prime(8,3)
gcd-divides(1,1)
gcd-one(16,7)
gcd-zero-03(1,0)
max_prime_divisor-nle-01(6,3)
prime-23(10,6)
prime-not-neg(2,1)
case-10(14,7)
div-gcd-is-neg(4,2)
div-one-one-neg(5,3)
divides-prime(20,10)
gcd-divides-01(2,1)
gcd-one-01(1,1)
gcd-zero-04(4,3)
max_prime_divisor-nle-zero(4,2)
prime-29(12,7)
prime-not-neg-01(2,1)
case-20(18,9)
div-gcd-is-neg-01(4,3)
div-one-pos(1,0)
exgcd-div(6,4)
gcd-divides-both(15,8)
gcd-one-eq(11,6)
gcd-zero-05(10,8)
max_prime_divisor-nle-zero-01(2,1)
prime-317(8,5)
prime-not-odd(2,1)
case-30(18,9)
div-gcd-is-neg-01-01(5,3)
div-zero(2,2)
gcd-abs(1,0)
gcd-divides-both-h(10,5)
gcd-one-eq-01(3,3)
gcd-zero-zero(2,1)
max_prime_divisor-nls(6,3)
prime-43(14,8)
prime-odd(4,2)
case-40(18,9)
div-gcd-neg-not-zero(4,2)
div-zero-01(2,2)
gcd-abs-rew(2,2)
gcd-ge-one(1,0)
gcd-one-eq-02(4,3)
gcdex(20,18)
max_prime_divisor-nls-01(3,2)
prime-5(9,6)
prime-odd-01(6,3)
coprime-divides(4,2)
div-gcd-not-neg(3,2)
div-zero-zero(2,1)
gcd-abs-rew-01(2,2)
gcd-less(2,1)
gcd-one-prime(4,2)
gcdex-not-unique(5,2)
max_prime_divisor-nls-02(20,10)
prime-631(10,6)
prime-one(2,1)
coprime-divides-01(6,4)
div-gcd-one(1,1)
divides(0,0)
gcd-abs-rew-02(19,11)
gcd-less-eq-zero(1,0)
gcd-pos(2,1)
gcdex-pos(17,9)
max_prime_divisor-nls-03(8,4)
prime-7(8,5)
prime-small(2,1)
coprime-divides-02(2,1)
div-gcd-zero(4,3)
divides-abs(1,1)
gcd-add(3,2)
gcd-max(0,0)
gcd-prime(6,2)
gcdex-smallest-pos(8,4)
max_prime_divisor-nls-zero(4,3)
prime-83(6,4)
prime-three(4,3)
coprime-divides-03(2,1)
div-mod(5,5)
divides-abs-01(7,3)
gcd-com(13,7)
gcd-max-prop(3,3)
gcd-primes(6,3)
gcdhex(23,14)
max_prime_divisor-not-zero(2,1)
prime-abs(1,0)
prime-two(4,1)
coprime-divides-04(1,1)
div-mod-01(9,5)
divides-abs-02(13,9)
gcd-conq-one(22,15)
gcd-mod-one(13,8)
gcd-rec(41,27)
isSquare-mult(19,11)
max_prime_divisor-prime(4,2)
prime-def(0,0)
prime-two-01(1,1)
coprime-mod-zero(6,4)
div-mod-zero(2,1)
divides-add(9,4)
gcd-conq-one-01(6,4)
gcd-mod-one-01(5,3)
gcd-rec-pos(1,1)
isSquare-mult-aux(73,51)
mod-gcd(5,3)
prime-def-mod(17,9)
square-neq-any(8,5)
coprime-pot(12,5)
div-mod-zero-01(2,1)
divides-minus(1,0)
gcd-div-eq(4,2)
gcd-mult(8,6)
gcd-rec-sub(10,5)
max_prime_divisor-abs(1,0)
mod-gcd-01(7,4)
prime-def-prime(26,11)
square-neq-any-pos(11,6)
div-abs(5,3)
div-mult(2,1)
divides-mod(3,2)
gcd-div-gcd(5,4)
gcd-mult-01(2,2)
gcd-rec-sub-01(54,44)
max_prime_divisor-abs-01(1,0)
mod-square-10(20,12)
prime-divides(4,2)
square-neq-any-pos-01(18,14)
div-abs-01(7,4)
div-mult-01(1,0)
divides-mone(3,2)
gcd-div-gcd-pos(22,13)
gcd-mult-pos(30,16)
gcd-rec-sub-02(2,0)
max_prime_divisor-def(0,0)
not-less-gcd(2,1)
prime-divides-01(2,1)
square-neq-any-pos-02(58,39)
div-abs-02(10,6)
div-mult-div(2,1)
divides-mult(2,2)
gcd-div-mult(2,1)
gcd-mult-pos-01(1,0)
gcd-rec-sub-03(62,51)
max_prime_divisor-divides(4,2)
num-gcd-pos(3,1)
prime-divides-one(2,1)
square-neq-pos(20,14)
div-abs-03(1,1)
div-mult-shift(2,1)
divides-mult-01(2,1)
gcd-div-mult-shift(4,2)
gcd-neg(5,3)
gcd-same(3,3)
max_prime_divisor-divides-01(2,1)
pot-isSquare(23,13)
prime-ex-max(14,8)
square-neq-pos-h(8,5)
div-abs-04(5,3)
div-neg(8,5)
divides-mult-02(4,2)
gcd-div-rest(8,5)
gcd-negone-eq(5,4)
gcd-same-01(1,1)
max_prime_divisor-divides-02(6,4)
prime-11(8,5)
prime-le-2(1,0)
square-neq-prime(12,6)
div-div(4,2)
div-not-ls(2,1)
divides-mult-add(2,1)
gcd-div-shift(2,1)
gcd-nls(4,3)
gcd-same-02(1,1)
max_prime_divisor-divides-03(8,5)
prime-1259(12,7)
prime-mult-eq(1,0)
square-prime-eq(6,3)
div-div-01(4,2)
div-one(1,1)
divides-mult-sub(3,3)
gcd-div1(0,0)
gcd-nls-01(2,1)
gcd-zero(0,0)
max_prime_divisor-ge2(15,8)
prime-13(8,5)
prime-mult-not(4,1)