(sincos
(noa_nnreal_lt_pi2 0
(noa_nnreal_lt_pi2-1 nil 3477822201
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "pi/4")
(("" (inst + "pi/8") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((pi const-decl "posreal" atan nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(< const-decl "bool" reals nil)
(nnreal type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
shostak))
(noa_real_lt_pi2 0
(noa_real_lt_pi2-1 nil 3477822300
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "pi/4")
(("" (inst + "pi/8") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((real_abs_lt_pi2 nonempty-type-eq-decl nil atan nil)
(pi const-decl "posreal" atan nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(- const-decl "[numfield -> numfield]" number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(< const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
real_types nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/")
(minus_nzreal_is_nzreal application-judgement "nzreal" real_types
nil)
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
nil))
(noa_posreal_lt_pi 0
(noa_posreal_lt_pi-1 nil 3477822312
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "pi/4")
(("" (inst + "pi/8") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(posreal_lt_pi nonempty-type-eq-decl nil sincos_quad nil)
(pi const-decl "posreal" atan nil) (< const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/"))
nil))
(noa_nnreal_pi4_to_pi 0
(noa_nnreal_pi4_to_pi-1 nil 3477822324
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "3*pi/4")
(("" (inst-cp + "pi/2") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((* const-decl "[numfield, numfield -> numfield]" number_fields nil)
(< const-decl "bool" reals nil) (pi const-decl "posreal" atan nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(<= const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(nnreal type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
nil))
(noa_posreal_pi2_to_pi 0
(noa_posreal_pi2_to_pi-1 nil 3477822372
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "3*pi/4")
(("" (inst + "pi/2") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((* const-decl "[numfield, numfield -> numfield]" number_fields nil)
(< const-decl "bool" reals nil) (pi const-decl "posreal" atan nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(<= const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
nil))
(noa_nnreal_lt_pi4 0
(noa_nnreal_lt_pi4-1 nil 3477822408
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "pi/8")
(("" (inst + "pi/10") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((pi const-decl "posreal" atan nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(< const-decl "bool" reals nil)
(nnreal type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
nil))
(noa_mpi4_to_pi4 0
(noa_mpi4_to_pi4-1 nil 3477822445
("" (expand "not_one_element?")
(("" (skosimp*)
(("" (inst-cp + "pi/8")
(("" (inst + "0") (("" (assert) nil nil)) nil)) nil))
nil))
nil)
((pi const-decl "posreal" atan nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(>= const-decl "bool" reals nil)
(- const-decl "[numfield -> numfield]" number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(< const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
real_types nil)
(not_one_element? const-decl "bool" deriv_domain_def "analysis/")
(minus_nzreal_is_nzreal application-judgement "nzreal" real_types
nil)
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
nil))
(conn_nnreal_lt_p2 0
(conn_nnreal_lt_p2-1 nil 3477822472
("" (expand "connected?")
(("" (skosimp*) (("" (assert) nil nil)) nil)) nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(connected? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
shostak))
(conn_nnreal_pi4_to_pi 0
(conn_nnreal_pi4_to_pi-1 nil 3477822481
("" (expand "connected?")
(("" (skosimp*) (("" (assert) nil nil)) nil)) nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(connected? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
shostak))
(conn_posreal_pi2_to_pi 0
(conn_posreal_pi2_to_pi-1 nil 3477822492
("" (expand "connected?")
(("" (skosimp*) (("" (assert) nil nil)) nil)) nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(connected? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
shostak))
(conn_nnreal_lt_pi4 0
(conn_nnreal_lt_pi4-1 nil 3477822502
("" (expand "connected?")
(("" (skosimp*) (("" (assert) nil nil)) nil)) nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(connected? const-decl "bool" deriv_domain_def "analysis/")
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil))
shostak))
(deriv_domain_nnreal_lt_pi2 0
(deriv_domain_nnreal_lt_pi2-1 nil 3477822510
("" (lemma "deriv_domain_co")
(("" (inst - "0" "pi/2")
(("" (assert)
(("" (expand "deriv_domain?")
(("" (skosimp*)
(("" (inst - "e!1" "x!1")
(("" (skosimp*) (("" (inst?) nil nil)) nil)) nil))
nil))
nil))
nil))
nil))
nil)
((pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(numfield nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(pi const-decl "posreal" atan nil)
(real_plus_real_is_real application-judgement "real" reals nil)
(deriv_domain? const-decl "bool" deriv_domain_def "analysis/")
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(nnreal type-eq-decl nil real_types nil)
(< const-decl "bool" reals nil) (<= const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(nzreal nonempty-type-eq-decl nil reals nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(deriv_domain_co formula-decl nil deriv_domain "analysis/"))
shostak))
(deriv_domain_real_abs_lt_pi2 0
(deriv_domain_real_abs_lt_pi2-1 nil 3477822569
("" (lemma "deriv_domain_open")
(("" (inst - "-pi/2" "pi/2") nil nil)) nil)
((nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
real_types nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil)
(minus_nzreal_is_nzreal application-judgement "nzreal" real_types
nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(numfield nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(- const-decl "[numfield -> numfield]" number_fields nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(pi const-decl "posreal" atan nil)
(deriv_domain_open formula-decl nil deriv_domain "analysis/"))
shostak))
(deriv_domain_posreal_pi2_to_pi 0
(deriv_domain_posreal_pi2_to_pi-1 nil 3477822648
("" (lemma "deriv_domain_co")
(("" (inst - "pi/2" "pi")
(("" (assert)
(("" (expand "deriv_domain?")
(("" (skosimp*)
(("" (inst - "e!1" "x!1")
(("" (skosimp*) (("" (inst?) nil nil)) nil)) nil))
nil))
nil))
nil))
nil))
nil)
((pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(numfield nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(pi const-decl "posreal" atan nil)
(real_plus_real_is_real application-judgement "real" reals nil)
(deriv_domain? const-decl "bool" deriv_domain_def "analysis/")
(< const-decl "bool" reals nil) (<= const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(nzreal nonempty-type-eq-decl nil reals nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(deriv_domain_co formula-decl nil deriv_domain "analysis/"))
shostak))
(deriv_domain_posreal_lt_pi 0
(deriv_domain_posreal_lt_pi-1 nil 3477822724
("" (lemma "deriv_domain_open")
(("" (inst - "0" "pi")
(("" (assert)
(("" (expand "deriv_domain?")
(("" (skosimp*)
(("" (inst - "e!1" "x!1")
(("" (skosimp*) (("" (inst?) nil nil)) nil)) nil))
nil))
nil))
nil))
nil))
nil)
((number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(pi const-decl "posreal" atan nil)
(pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil)
(minus_nzreal_is_nzreal application-judgement "nzreal" real_types
nil)
(deriv_domain_posreal_lt_pi formula-decl nil sincos_quad nil)
(deriv_domain_open formula-decl nil deriv_domain "analysis/"))
shostak))
(deriv_domain_nnreal_pi4_to_pi 0
(deriv_domain_nnreal_pi4_to_pi-1 nil 3477822763
("" (lemma "deriv_domain_co")
(("" (inst - "pi/4" "pi")
(("" (expand "deriv_domain?")
(("" (skosimp*)
(("" (inst - "e!1" "x!1")
(("" (skosimp*) (("" (inst?) nil nil)) nil)) nil))
nil))
nil))
nil))
nil)
((pi_bound name-judgement "{r: posreal | pi_lb < r AND r < pi_ub}"
atan_approx nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans 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)
(numfield nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(bool nonempty-type-eq-decl nil booleans nil)
(>= const-decl "bool" reals nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(pi const-decl "posreal" atan nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
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--> --------------------
--> maximum size reached
--> --------------------
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