%   ORIGINAL: h4/bitstring/word__slice__v2w
% 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/words/WORD__SLICE__THM: !w l h. h4/words/word__slice h l w = h4/words/word__lsl (h4/words/word__bits h l w) l
% Assm: h4/bitstring/word__lsl__v2w: !v n. h4/words/word__lsl (h4/bitstring/v2w v) n = h4/bitstring/v2w (h4/bitstring/shiftl v n)
% Assm: h4/bitstring/word__bits__v2w: !v l h. h4/words/word__bits h l (h4/bitstring/v2w v) = h4/bitstring/v2w (h4/bitstring/field h l (h4/bitstring/fixwidth (h4/fcp/dimindex h4/bool/the__value) v))
% Goal: !v l h. h4/words/word__slice h l (h4/bitstring/v2w v) = h4/bitstring/v2w (h4/bitstring/shiftl (h4/bitstring/field h l (h4/bitstring/fixwidth (h4/fcp/dimindex h4/bool/the__value) v)) 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_wordss_WORDu_u_SLICEu_u_THM]: !w l h. h4/words/word__slice h l w = h4/words/word__lsl (h4/words/word__bits h l w) l
% Assm [h4s_bitstrings_wordu_u_lslu_u_v2w]: !v n. h4/words/word__lsl (h4/bitstring/v2w v) n = h4/bitstring/v2w (h4/bitstring/shiftl v n)
% Assm [h4s_bitstrings_wordu_u_bitsu_u_v2w]: !v l h. h4/words/word__bits h l (h4/bitstring/v2w v) = h4/bitstring/v2w (h4/bitstring/field h l (h4/bitstring/fixwidth (h4/fcp/dimindex h4/bool/the__value) v))
% Goal: !v l h. h4/words/word__slice h l (h4/bitstring/v2w v) = h4/bitstring/v2w (h4/bitstring/shiftl (h4/bitstring/field h l (h4/bitstring/fixwidth (h4/fcp/dimindex h4/bool/the__value) v)) 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_Q89452,TV_Q89448]: ![V_f, V_g]: (![V_x]: s(TV_Q89448,happ(s(t_fun(TV_Q89452,TV_Q89448),V_f),s(TV_Q89452,V_x))) = s(TV_Q89448,happ(s(t_fun(TV_Q89452,TV_Q89448),V_g),s(TV_Q89452,V_x))) => s(t_fun(TV_Q89452,TV_Q89448),V_f) = s(t_fun(TV_Q89452,TV_Q89448),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_wordss_WORDu_u_SLICEu_u_THM, axiom, ![TV_u_27a]: ![V_w, V_l, V_h]: s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_wordss_wordu_u_slice(s(t_h4s_nums_num,V_h),s(t_h4s_nums_num,V_l),s(t_h4s_fcps_cart(t_bool,TV_u_27a),V_w))) = s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_wordss_wordu_u_lsl(s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,V_h),s(t_h4s_nums_num,V_l),s(t_h4s_fcps_cart(t_bool,TV_u_27a),V_w))),s(t_h4s_nums_num,V_l)))).
fof(ah4s_bitstrings_wordu_u_lslu_u_v2w, axiom, ![TV_u_27a]: ![V_v, V_n]: s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_wordss_wordu_u_lsl(s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),V_v))),s(t_h4s_nums_num,V_n))) = s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_bitstrings_shiftl(s(t_h4s_lists_list(t_bool),V_v),s(t_h4s_nums_num,V_n)))))).
fof(ah4s_bitstrings_wordu_u_bitsu_u_v2w, axiom, ![TV_u_27a]: ![V_v, V_l, V_h]: s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_wordss_wordu_u_bits(s(t_h4s_nums_num,V_h),s(t_h4s_nums_num,V_l),s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),V_v))))) = s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_bitstrings_v2w(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),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))),s(t_h4s_lists_list(t_bool),V_v)))))))).
fof(ch4s_bitstrings_wordu_u_sliceu_u_v2w, conjecture, ![TV_u_27a]: ![V_v, V_l, V_h]: s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_wordss_wordu_u_slice(s(t_h4s_nums_num,V_h),s(t_h4s_nums_num,V_l),s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),V_v))))) = s(t_h4s_fcps_cart(t_bool,TV_u_27a),h4s_bitstrings_v2w(s(t_h4s_lists_list(t_bool),h4s_bitstrings_shiftl(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),h4s_bitstrings_fixwidth(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(TV_u_27a),h4s_bools_theu_u_value))),s(t_h4s_lists_list(t_bool),V_v))))),s(t_h4s_nums_num,V_l)))))).
