|
(path_lems
(Pigeon_hole 0
(Pigeon_hole-1 nil 3507100594
("" (skosimp*)
(("" (lemma "seq_pigeon_hole[T,(vert(GF!1))]")
(("" (inst?)
(("1" (assert)
(("1" (skosimp*)
(("1" (inst?)
(("1" (inst 2 "j!1")
(("1" (expand "finseq_appl")
(("1" (assert) nil)))))))))))
("2" (skosimp*)
(("2" (hide 2)
(("2" (typepred "x1!1")
(("2" (typepred "w!1")
(("2" (expand "walk?")
(("2" (flatten)
(("2" (expand "verts_in?")
(("2" (inst?) nil))))))))))))))))))))
nil)
((Graph type-eq-decl nil graphs nil)
(nonempty? const-decl "bool" sets nil)
(graph type-eq-decl nil graphs nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(pregraph type-eq-decl nil graphs nil)
(finite_set type-eq-decl nil finite_sets nil)
(doubleton type-eq-decl nil doubletons nil)
(dbl const-decl "set[T]" doubletons nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(/= const-decl "boolean" notequal nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(T formal-type-decl nil path_lems nil)
(seq_pigeon_hole formula-decl nil seq_pigeon "structures/")
(NOT const-decl "[bool -> bool]" booleans nil)
(verts_in? const-decl "bool" walks nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(below type-eq-decl nil naturalnumbers nil)
(finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
nil)
(number nonempty-type-decl nil numbers nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(>= const-decl "bool" reals nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(< const-decl "bool" reals nil)
(below type-eq-decl nil nat_types nil)
(finseq type-eq-decl nil finite_sequences nil)
(> const-decl "bool" reals nil)
(prewalk type-eq-decl nil walks nil)
(walk? const-decl "bool" walks nil)
(GF!1 skolem-const-decl "Graph[T]" path_lems nil)
(Walk type-eq-decl nil walks nil)
(w!1 skolem-const-decl "Walk[T](GF!1)" path_lems nil))
nil)))
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