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(("" (inst - "b!1" "a!1")
(("" (use "convergence_order" ("f2" "f!1"))
(("" (assert)
(("" (skosimp*)
(("" (expand "const_fun")
(("" (assert) (("" (inst?) nil nil)) nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
((cv_const formula-decl nil limit_vect3_real nil)
(convergence_order formula-decl nil limit_vect3_real nil)
(const_fun const-decl "[Vect3 -> real]" vect3_fun_ops "vectors/")
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil))
shostak))
(convergence_upper_bound 0
(convergence_upper_bound-1 nil 3442333686
("" (skosimp*)
(("" (lemma "cv_const")
(("" (inst - "b!1" "a!1")
(("" (assert)
(("" (use "convergence_order" ("f1" "f!1"))
(("" (expand "const_fun") (("" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
((cv_const formula-decl nil limit_vect3_real nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(const_fun const-decl "[Vect3 -> real]" vect3_fun_ops "vectors/")
(convergence_order formula-decl nil limit_vect3_real nil)
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil))
shostak))
(lim_le1 0
(lim_le1-1 nil 3299406886
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(("" (assert)
(("" (name-replace "ll" "lim(f!1, a!1)" :hide? nil)
(("" (rewrite "lim_fun_def")
(("" (use "convergence_upper_bound") (("" (assert) nil nil))
nil))
nil))
nil))
nil))
nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(lim_fun_def formula-decl nil limit_vect3_real nil)
(convergence_upper_bound formula-decl nil limit_vect3_real nil)
(lim const-decl "real" limit_vect3_real nil)
(convergent? const-decl "bool" limit_vect3_real nil)
(bool nonempty-type-eq-decl nil booleans 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)
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(real nonempty-type-from-decl nil reals nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil))
nil))
(lim_ge1 0
(lim_ge1-1 nil 3299406886
("" (skosimp)
(("" (assert)
(("" (name-replace "ll" "lim(f!1, a!1)" :hide? nil)
(("" (rewrite "lim_fun_def")
(("" (use "convergence_lower_bound" ("b" "b!1"))
(("" (assert) nil nil)) nil))
nil))
nil))
nil))
nil)
((real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(lim_fun_def formula-decl nil limit_vect3_real nil)
(convergence_lower_bound formula-decl nil limit_vect3_real nil)
(lim const-decl "real" limit_vect3_real nil)
(convergent? const-decl "bool" limit_vect3_real nil)
(bool nonempty-type-eq-decl nil booleans 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)
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(real nonempty-type-from-decl nil reals nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil))
nil))
(lim_order1 0
(lim_order1-1 nil 3299406886
("" (skosimp)
(("" (assert)
(("" (name-replace "ll1" "lim(f1!1, a!1)" :hide? nil)
(("" (name-replace "ll2" "lim(f2!1, a!1)" :hide? nil)
(("" (rewrite "lim_fun_def")
(("" (rewrite "lim_fun_def")
(("" (use "convergence_order" ("l1" "ll1" "l2" "ll2"))
(("" (ground) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(convergence_order formula-decl nil limit_vect3_real nil)
(lim_fun_def formula-decl nil limit_vect3_real nil)
(lim const-decl "real" limit_vect3_real nil)
(convergent? const-decl "bool" limit_vect3_real nil)
(bool nonempty-type-eq-decl nil booleans 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)
(Vect3 type-eq-decl nil vectors_3D_def "vectors/")
(real nonempty-type-from-decl nil reals nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil))
nil)))
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