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Theorem base summary for Specification int-square
Status:
Proved!
Axioms: 2, User Theorems: 51 (Proved: 51, Partially proved: 0, Unproved: 0, Invalid: 0, Siginvalid: 0)
Proof steps: 463, Interactions: 303
Sqrt-def(0,0)
euler-four-square-identity2(78,72)
minus(2,0)
root-elim(12,7)
square-nls(8,3)
square-three(3,1)
two-le-two(8,5)
two-pm(6,3)
Square-def(0,0)
even(10,8)
minus-01(2,0)
root-le(6,3)
square-not-neg(3,1)
square-two(3,1)
two-ls(3,2)
zero(2,0)
abs(2,0)
four-square-le-zero(11,6)
neq(3,1)
root-nls(5,2)
square-not-neg-01(4,2)
two-even(49,29)
two-ls-pospos(4,2)
zero-01(2,1)
abs-01(2,0)
inverse-i(3,1)
one(2,1)
root-pos(3,1)
square-not-neg-02(4,1)
two-even-01(5,2)
two-minus(7,3)
zero-i(2,1)
add-even(6,4)
inverse-ii(6,3)
one-01(6,3)
square-four(6,4)
square-not-neg-03(4,2)
two-ex(5,1)
two-mult(5,3)
div(5,2)
le(2,0)
positive(2,0)
square-le-one(16,8)
square-not-neg-04(3,1)
two-identity(14,9)
two-not-neg(3,1)
euler-four-square-identity(86,84)
le-plus(3,1)
root-abs(3,1)
square-le-one-01(3,1)
square-not-neg-05(9,4)
two-le-three(16,9)
two-plus(6,3)