(ring_def
(ring?_TCC1 0
(ring?_TCC1-1 nil 3301145269
("" (expand "semigroup?")
(("" (skosimp*)
(("" (expand "groupoid?")
(("" (expand "star_closed?")
(("" (expand "member")
(("" (inst - "x1!1`1" "x1!1`2") (("" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil)
((star_closed? const-decl "bool" groupoid_def nil)
(T formal-nonempty-type-decl nil ring_def nil)
(boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(set type-eq-decl nil sets nil)
(member const-decl "bool" sets nil))
shostak))
(ring?_TCC2 0
(ring?_TCC2-1 nil 3301145269
("" (expand "abelian_group?")
(("" (expand "group?")
(("" (expand "monoid?")
(("" (expand "monad?")
(("" (expand "groupoid?")
(("" (expand "star_closed?")
(("" (expand "member") (("" (skosimp*) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
((group? const-decl "bool" group_def nil)
(monad? const-decl "bool" monad_def nil)
(member const-decl "bool" sets nil)
(star_closed? const-decl "bool" groupoid_def nil)
(monoid? const-decl "bool" monoid_def nil)
(abelian_group? const-decl "bool" group_def nil))
shostak))
(commutative_ring?_TCC1 0
(commutative_ring?_TCC1-1 nil 3301145269
("" (expand "ring?")
(("" (expand "semigroup?")
(("" (expand "groupoid?")
(("" (expand "star_closed?")
(("" (expand "member") (("" (skosimp*) nil nil)) nil)) nil))
nil))
nil))
nil)
((star_closed? const-decl "bool" groupoid_def nil)
(member const-decl "bool" sets nil)
(ring? const-decl "bool" ring_def nil))
shostak))
(finite_commutative_ring?_TCC1 0
(finite_commutative_ring?_TCC1-1 nil 3301145269
("" (expand "finite_ring?")
(("" (expand "ring?")
(("" (expand "semigroup?")
(("" (expand "groupoid?")
(("" (expand "star_closed?")
(("" (expand "member") (("" (skosimp*) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
((ring? const-decl "bool" ring_def nil)
(member const-decl "bool" sets nil)
(star_closed? const-decl "bool" groupoid_def nil)
(finite_ring? const-decl "bool" ring_def nil))
shostak)))
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