%   ORIGINAL: h4/bitstring/length__field
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/bool/TRUTH: T
% Assm: h4/bool/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/bitstring/field__def: !v l h. h4/bitstring/field h l v = h4/bitstring/fixwidth (h4/arithmetic/_2D (h4/num/SUC h) l) (h4/bitstring/shiftr v l)
% Assm: h4/bitstring/length__fixwidth: !v n. h4/list/LENGTH (h4/bitstring/fixwidth n v) = n
% Goal: !v l h. h4/list/LENGTH (h4/bitstring/field h l v) = h4/arithmetic/_2D (h4/num/SUC h) l
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_bools_TRUTH]: T
% Assm [h4s_bools_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_bitstrings_fieldu_u_def]: !v l h. h4/bitstring/field h l v = h4/bitstring/fixwidth (h4/arithmetic/_2D (h4/num/SUC h) l) (h4/bitstring/shiftr v l)
% Assm [h4s_bitstrings_lengthu_u_fixwidth]: !v n. h4/list/LENGTH (h4/bitstring/fixwidth n v) = n
% Goal: !v l h. h4/list/LENGTH (h4/bitstring/field h l v) = h4/arithmetic/_2D (h4/num/SUC h) l
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q88079,TV_Q88075]: ![V_f, V_g]: (![V_x]: s(TV_Q88075,happ(s(t_fun(TV_Q88079,TV_Q88075),V_f),s(TV_Q88079,V_x))) = s(TV_Q88075,happ(s(t_fun(TV_Q88079,TV_Q88075),V_g),s(TV_Q88079,V_x))) => s(t_fun(TV_Q88079,TV_Q88075),V_f) = s(t_fun(TV_Q88079,TV_Q88075),V_g))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_bitstrings_fieldu_u_def, axiom, ![V_v, V_l, V_h]: s(t_h4s_lists_list(t_bool),h4s_bitstrings_field(s(t_h4s_nums_num,V_h),s(t_h4s_nums_num,V_l),s(t_h4s_lists_list(t_bool),V_v))) = s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,V_h))),s(t_h4s_nums_num,V_l))),s(t_h4s_lists_list(t_bool),h4s_bitstrings_shiftr(s(t_h4s_lists_list(t_bool),V_v),s(t_h4s_nums_num,V_l)))))).
fof(ah4s_bitstrings_lengthu_u_fixwidth, axiom, ![V_v, V_n]: s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,V_n),s(t_h4s_lists_list(t_bool),V_v))))) = s(t_h4s_nums_num,V_n)).
fof(ch4s_bitstrings_lengthu_u_field, conjecture, ![V_v, V_l, V_h]: s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),h4s_bitstrings_field(s(t_h4s_nums_num,V_h),s(t_h4s_nums_num,V_l),s(t_h4s_lists_list(t_bool),V_v))))) = s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,V_h))),s(t_h4s_nums_num,V_l)))).
