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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: 432, Interactions: 299
Sqrt-def(0,0)
euler-four-square-identity2(77,72)
minus(1,0)
root-elim(12,7)
square-nls(8,3)
square-three(2,1)
two-le-two(7,5)
two-pm(5,3)
Square-def(0,0)
even(9,8)
minus-01(1,0)
root-le(6,3)
square-not-neg(3,1)
square-two(2,1)
two-ls(2,2)
zero(1,0)
abs(1,0)
four-square-le-zero(10,6)
neq(2,1)
root-nls(5,2)
square-not-neg-01(3,1)
two-even(49,29)
two-ls-pospos(4,2)
zero-01(1,1)
abs-01(2,0)
inverse-i(2,1)
one(1,1)
root-pos(3,1)
square-not-neg-02(4,1)
two-even-01(5,2)
two-minus(6,3)
zero-i(1,1)
add-even(5,2)
inverse-ii(5,3)
one-01(5,3)
square-four(5,4)
square-not-neg-03(3,1)
two-ex(5,1)
two-mult(4,3)
div(5,2)
le(1,0)
positive(1,0)
square-le-one(16,8)
square-not-neg-04(3,1)
two-identity(13,9)
two-not-neg(3,1)
euler-four-square-identity(85,84)
le-plus(3,1)
root-abs(3,1)
square-le-one-01(3,1)
square-not-neg-05(9,4)
two-le-three(15,9)
two-plus(5,3)