%   ORIGINAL: h4/binary__ieee/float__fn__updates_c0
% 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/binary__ieee/float__Sign__fupd0: !f c1 c0 c. h4/binary__ieee/float__Sign__fupd f (h4/binary__ieee/float0 c c0 c1) = h4/binary__ieee/float0 (f c) c0 c1
% Goal: !f c1 c0 c. h4/binary__ieee/float__Sign__fupd f (h4/binary__ieee/float0 c c0 c1) = h4/binary__ieee/float0 (f c) c0 c1
%   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_binaryu_u_ieees_floatu_u_Signu_u_fupd0]: !f c1 c0 c. h4/binary__ieee/float__Sign__fupd f (h4/binary__ieee/float0 c c0 c1) = h4/binary__ieee/float0 (happ f c) c0 c1
% Goal: !f c1 c0 c. h4/binary__ieee/float__Sign__fupd f (h4/binary__ieee/float0 c c0 c1) = h4/binary__ieee/float0 (happ f c) c0 c1
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f0)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f0))).
fof(aHLu_EXT, axiom, ![TV_Q100556,TV_Q100552]: ![V_f, V_g]: (![V_x]: s(TV_Q100552,happ(s(t_fun(TV_Q100556,TV_Q100552),V_f),s(TV_Q100556,V_x))) = s(TV_Q100552,happ(s(t_fun(TV_Q100556,TV_Q100552),V_g),s(TV_Q100556,V_x))) => s(t_fun(TV_Q100556,TV_Q100552),V_f) = s(t_fun(TV_Q100556,TV_Q100552),V_g))).
fof(ah4s_binaryu_u_ieees_floatu_u_Signu_u_fupd0, axiom, ![TV_u_27w,TV_u_27t]: ![V_f, V_c1, V_c0, V_c]: s(t_h4s_binaryu_u_ieees_float(TV_u_27t,TV_u_27w),h4s_binaryu_u_ieees_floatu_u_signu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),V_f),s(t_h4s_binaryu_u_ieees_float(TV_u_27t,TV_u_27w),h4s_binaryu_u_ieees_float0(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),V_c),s(t_h4s_fcps_cart(t_bool,TV_u_27w),V_c0),s(t_h4s_fcps_cart(t_bool,TV_u_27t),V_c1))))) = s(t_h4s_binaryu_u_ieees_float(TV_u_27t,TV_u_27w),h4s_binaryu_u_ieees_float0(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),V_f),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),V_c))),s(t_h4s_fcps_cart(t_bool,TV_u_27w),V_c0),s(t_h4s_fcps_cart(t_bool,TV_u_27t),V_c1)))).
fof(ch4s_binaryu_u_ieees_floatu_u_fnu_u_updatesu_c0, conjecture, ![TV_u_27w,TV_u_27t]: ![V_f, V_c1, V_c0, V_c]: s(t_h4s_binaryu_u_ieees_float(TV_u_27t,TV_u_27w),h4s_binaryu_u_ieees_floatu_u_signu_u_fupd(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),V_f),s(t_h4s_binaryu_u_ieees_float(TV_u_27t,TV_u_27w),h4s_binaryu_u_ieees_float0(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),V_c),s(t_h4s_fcps_cart(t_bool,TV_u_27w),V_c0),s(t_h4s_fcps_cart(t_bool,TV_u_27t),V_c1))))) = s(t_h4s_binaryu_u_ieees_float(TV_u_27t,TV_u_27w),h4s_binaryu_u_ieees_float0(s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),happ(s(t_fun(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),t_h4s_fcps_cart(t_bool,t_h4s_ones_one)),V_f),s(t_h4s_fcps_cart(t_bool,t_h4s_ones_one),V_c))),s(t_h4s_fcps_cart(t_bool,TV_u_27w),V_c0),s(t_h4s_fcps_cart(t_bool,TV_u_27t),V_c1)))).
