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Theorem base summary for Specification int-square
Status:
Proved!
Axioms: 3, User Theorems: 58 (Proved: 58, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 350, Interactions: 207
Sqrt-def(0,0)
even(1,1)
isSquare-zero(1,1)
positive(1,0)
sqrt-mult-squares(12,7)
square-not-neg-03(2,1)
two-identity(5,4)
two-plus(5,3)
Square-def(0,0)
four-square-le-zero(10,6)
le(1,0)
root-abs(1,0)
square-four(5,4)
square-not-neg-04(2,1)
two-le-three(15,9)
two-pm(1,1)
abs(1,0)
inverse-i(2,1)
le-plus(2,1)
root-elim(11,7)
square-le-one(15,8)
square-not-neg-05(8,4)
two-le-two(7,5)
zero(1,0)
abs-01(1,0)
inverse-ii(5,3)
minus(1,0)
root-le(4,2)
square-le-one-01(2,1)
square-three(1,1)
two-ls(2,2)
zero-01(1,1)
add-even(3,2)
isSquare-def(0,0)
minus-01(1,0)
root-nls(4,2)
square-nls(7,3)
square-two(1,1)
two-ls-pospos(3,2)
zero-i(1,1)
div(2,1)
isSquare-one(2,2)
neq(2,1)
root-pos(2,1)
square-not-neg(2,1)
two-even(48,29)
two-minus(11,5)
euler-four-square-identity(48,29)
isSquare-pos(2,1)
one(1,1)
sqrt-estimate(4,2)
square-not-neg-01(2,1)
two-even-01(3,2)
two-mult(2,2)
euler-four-square-identity2(53,35)
isSquare-square(3,1)
one-01(5,3)
sqrt-isSquare(4,2)
square-not-neg-02(2,1)
two-ex(4,1)
two-not-neg(2,1)