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Theorem base summary for Specification rational
Status:
Proved!
Axioms: 22, User Theorems: 89 (Proved: 89, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 857, Interactions: 521
Equality(0,0)
add-def-01(1,1)
denom-neg-02(13,10)
div-def(0,0)
exrat-01(3,1)
ls-def(14,7)
mult-zero-01(4,2)
num-neg-01(18,11)
numerator-zero(0,0)
zero-num(1,1)
Extsimple(71,38)
add-def-02(31,20)
denom-not-zero(12,9)
div-def-01(36,21)
exrat-gcd1(2,1)
make(43,23)
neg-def(0,0)
num-neg-02(4,2)
numerator-zero-den(0,0)
zero-num-01(1,1)
Ge-def(0,0)
add-def-03(19,10)
denom-one(1,1)
div-neg(5,3)
factor-rat(3,3)
mult-ass(13,7)
neg-intro(4,3)
num-neg-03(15,10)
one(8,4)
zero-num-02(1,1)
Gr-def(0,0)
add-eq(19,14)
denom-pos(5,3)
div-neg-01(13,7)
factor-rat-01(8,6)
mult-comm(2,2)
neg-neg(4,2)
num-pos(2,1)
one-def(0,0)
Le-def(0,0)
add-zero(1,1)
denom-pos-01(8,4)
div-pos-def(28,14)
factor-rat-02(8,5)
mult-def(0,0)
negate(11,7)
num-same(1,0)
rational-add-same(6,4)
Ls-def(0,0)
add-zero-01(3,3)
denominator-pos(0,0)
elim-sub(12,7)
factor-rat-03(5,3)
mult-def-01(1,1)
negate-01(12,9)
num-same-01(1,1)
root-is-irrational(10,4)
abs-def(0,0)
add-zero-02(1,1)
denominator-zero(0,0)
equal-same(18,9)
gcd-num-one(9,5)
mult-def-02(30,18)
negate-02(6,3)
num-same-02(3,2)
sub-def(0,0)
abs-num(7,6)
canon-any(8,5)
denominator-zero-den(0,0)
equality-01(19,15)
gen(0,0)
mult-def-03(15,10)
negate-eq(9,3)
num-zero(4,2)
sub-def-01(5,4)
abs-pos(26,16)
canon-pos(7,4)
denum-same(7,3)
equality-02(20,13)
int-add(13,9)
mult-one(4,3)
num-div-denom(10,5)
num-zero-denum-one(5,3)
totality(10,7)
add-asso(17,10)
denom-id(2,1)
denum-same-01(1,0)
equality-def(6,4)
int-mult(10,6)
mult-one-01(1,1)
num-div-denom-01(10,5)
numerator-neg1(0,0)
transitivity(13,9)
add-comm(2,2)
denom-neg(6,3)
denum-same-02(1,1)
equality-pos(22,15)
int2rat-equal(1,0)
mult-split(4,3)
num-id(2,1)
numerator-neg2(0,0)
zero-def(0,0)
add-def(0,0)
denom-neg-01(3,2)
distributivity(17,11)
exrat(1,0)
irreflexivity(2,1)
mult-zero(4,2)
num-neg(7,4)
numerator-pos(0,0)
zero-denom(6,6)