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("" (skosimp*)
(("" (typepred "min(s!1)")
(("" (skosimp*)
(("" (replace -2 * rl)
(("" (hide -2)
(("" (inst-cp -1 "0")
(("" (inst -1 "1")
(("1" (lift-if)
(("1" (ground)
(("1" (typepred "jj!1")
(("1" (case-replace "jj!1 = 0 OR jj!1 = 1")
(("1" (prop)
(("1" (assert) nil)
("2" (replace -1)
(("2" (hide -1)
(("2"
(typepred "min_seq.<=")
(("2"
(expand "total_order?")
(("2"
(expand "partial_order?")
(("2"
(flatten)
(("2"
(expand "antisymmetric?")
(("2"
(inst?)
(("2"
(assert)
nil)))))))))))))))))))
("2" (assert) nil)))))))))
("2" (assert) nil))))))))))))))
nil)
((min const-decl "{t: T |
(FORALL (ii: dom(s)): t <= seq(s)(ii)) AND
(EXISTS (jj: dom(s)): seq(s)(jj) = t)}" min_seq nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(<= formal-const-decl "(total_order?[T])" min_seq nil)
(total_order? const-decl "bool" orders nil)
(pred type-eq-decl nil defined_types nil)
(dom type-eq-decl nil min_seq nil)
(ne_seqs type-eq-decl nil seqs nil) (> const-decl "bool" reals nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(T formal-nonempty-type-decl nil min_seq nil)
(below type-eq-decl nil nat_types nil)
(< const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(antisymmetric? const-decl "bool" relations nil)
(partial_order? const-decl "bool" orders nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(s!1 skolem-const-decl "ne_seqs[T]" min_seq nil))
nil)))
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