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nil))
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shostak))
(IMP_ring_with_one_TCC1 0
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((commutative_ring_with_one? const-decl "bool" ring_with_one_def
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commutative_ring_with_one nil))
shostak))
(commutative_ring_with_one_TCC1 0
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("" (lemma "fullset_is_commutative_ring_with_one")
(("" (propax) nil nil)) nil)
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commutative_ring_with_one nil))
shostak))
(commutative_ring_with_one_is 0
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("" (skolem!) (("" (typepred "R!1") (("" (propax) nil nil)) nil))
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((commutative_ring_with_one nonempty-type-eq-decl nil
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nil)
(one formal-const-decl "T" commutative_ring_with_one nil)
(zero formal-const-decl "T" commutative_ring_with_one nil)
(* formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(+ formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(set type-eq-decl nil sets nil)
(T formal-nonempty-type-decl nil commutative_ring_with_one nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
shostak))
(commutative_ring_with_one_is_commutative_ring 0
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("" (skosimp*)
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(one formal-const-decl "T" commutative_ring_with_one nil)
(zero formal-const-decl "T" commutative_ring_with_one nil)
(* formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(+ formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(set type-eq-decl nil sets nil)
(T formal-nonempty-type-decl nil commutative_ring_with_one nil)
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((commutative_ring_with_one nonempty-type-eq-decl nil
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(commutative_ring_with_one? const-decl "bool" ring_with_one_def
nil)
(one formal-const-decl "T" commutative_ring_with_one nil)
(zero formal-const-decl "T" commutative_ring_with_one nil)
(* formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(+ formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(set type-eq-decl nil sets nil)
(T formal-nonempty-type-decl nil commutative_ring_with_one nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
shostak))
(commutative_ring_with_one_is_commutative_monoid 0
(commutative_ring_with_one_is_commutative_monoid-1 nil 3294094805
("" (skosimp)
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((commutative_ring_with_one nonempty-type-eq-decl nil
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(* formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(+ formal-const-decl "[T, T -> T]" commutative_ring_with_one nil)
(set type-eq-decl nil sets nil)
(T formal-nonempty-type-decl nil commutative_ring_with_one nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(commutative_monoid? const-decl "bool" monoid_def nil)
(ring_with_one? const-decl "bool" ring_with_one_def nil))
shostak)))
¤ Dauer der Verarbeitung: 0.2 Sekunden
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