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(sign const-decl "Sign" sign "reals/"))
shostak))
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("" (skosimp)
(("" (typepred "pn!1")
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real_props nil)
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(AND const-decl "[bool, bool -> bool]" booleans nil)
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nil))
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(inv_root_TCC2-1 nil 3427758158
("" (skosimp) (("" (rewrite "root_is_0") nil nil)) nil)
((root_is_0 formula-decl nil root nil)
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nil)
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(real nonempty-type-from-decl nil reals nil)
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(nzreal nonempty-type-eq-decl nil reals nil)
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(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
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(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
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(> const-decl "bool" reals nil)
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(OR const-decl "[bool, bool -> bool]" booleans nil)
(odd? const-decl "bool" integers nil))
nil))
(inv_root 0
(inv_root-1 nil 3427764733
("" (skosimp)
(("" (expand "root")
(("" (rewrite "abs_div")
(("" (expand "abs" 1 1)
(("" (case-replace "sign(1 / n0x!1) =sign(n0x!1)")
(("1" (rewrite "inv_nn_root")
(("1" (assert)
(("1" (hide -1)
(("1" (expand "sign")
(("1" (case-replace "n0x!1 > 0")
(("1" (assert) nil nil) ("2" (assert) nil nil))
nil))
nil))
nil))
nil))
nil)
("2" (hide 2)
(("2" (lemma "trichotomy" ("x" "n0x!1"))
(("2" (split -1)
(("1" (expand "sign")
(("1"
(lemma "posreal_div_posreal_is_posreal"
("px" "1" "py" "n0x!1"))
(("1" (assert) nil nil) ("2" (assert) nil nil))
nil))
nil)
("2" (assert) nil nil)
("3" (expand "sign")
(("3" (rewrite "div_mult_neg_ge1" +)
(("3" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
real_types nil)
(root const-decl "real" root nil)
(abs const-decl "{n: nonneg_real | n >= m AND n >= -m}" real_defs
nil)
(posreal_div_posreal_is_posreal judgement-tcc nil real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(negreal nonempty-type-eq-decl nil real_types nil)
(< const-decl "bool" reals nil)
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(<= const-decl "bool" reals nil)
(div_mult_neg_ge1 formula-decl nil real_props nil)
(trichotomy formula-decl nil real_axioms nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
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(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
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(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
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(posreal_div_posreal_is_posreal application-judgement "posreal"
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(nzint_abs_is_pos application-judgement "{j: posint | j >= i}"
real_defs nil)
(int_abs_is_nonneg application-judgement "{j: nonneg_int | j >= i}"
real_defs nil)
(nzrat_abs_is_pos application-judgement "{r: posrat | r >= q}"
real_defs nil)
(nonzero_abs_is_pos application-judgement "{y: posreal | y >= x}"
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(boolean nonempty-type-decl nil booleans nil)
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shostak))
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("" (skosimp)
(("" (typepred "pn!1")
(("" (replace 2 -2)
(("" (flatten)
((""
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(("1" (assert) nil nil) ("2" (assert) nil nil)) nil))
nil))
nil))
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nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
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nil))
(div_root_TCC3 0
(div_root_TCC3-1 nil 3427761736 ("" (subtype-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
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(NOT const-decl "[bool -> bool]" booleans nil)
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nil)
(number_field nonempty-type-from-decl nil number_fields nil)
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(> const-decl "bool" reals nil)
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--> --------------------
--> maximum size reached
--> --------------------
¤ Dauer der Verarbeitung: 0.60 Sekunden
(vorverarbeitet)
¤
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