%   ORIGINAL: 'h4/thm/ind_type/CONSTR_INJ_'
% 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
% Goal: !c1 i1 r1 c2 i2 r2. 'h4/const/ind_type/CONSTR' c1 i1 r1 = 'h4/const/ind_type/CONSTR' c2 i2 r2 <=> c1 = c2 /\ i1 = i2 /\ r1 = r2
%   PROCESSED
% Assm ['HL_TRUTH']: T
% Assm ['HL_FALSITY']: ~F
% Assm ['HL_BOOL_CASES']: !t. (t <=> T) \/ (t <=> F)
% Assm ['HL_EXT']: !f g. (!x. happ f x = happ g x) ==> f = g
% Goal: !c1 i1 r1 c2 i2 r2. 'h4/const/ind_type/CONSTR' c1 i1 r1 = 'h4/const/ind_type/CONSTR' c2 i2 r2 <=> c1 = c2 /\ i1 = i2 /\ r1 = r2
fof('HL_TRUTH', axiom, p(s(bool,'T'))).
fof('HL_FALSITY', axiom, ~ (p(s(bool,'F')))).
fof('HL_BOOL_CASES', axiom, ![T]: (s(bool,T) = s(bool,'T') | s(bool,T) = s(bool,'F'))).
fof('HL_EXT', axiom, ![V_3f74214,V_3f74210]: ![F, G]: (![X]: s(V_3f74210,happ(s(fun(V_3f74214,V_3f74210),F),s(V_3f74214,X))) = s(V_3f74210,happ(s(fun(V_3f74214,V_3f74210),G),s(V_3f74214,X))) => s(fun(V_3f74214,V_3f74210),F) = s(fun(V_3f74214,V_3f74210),G))).
fof('h4/thm/ind_type/CONSTR_INJ_', conjecture, ![A]: ![C1, I1, R1, C2, I2, R2]: (s('h4/type/ind_type/recspace'(A),'h4/const/ind_type/CONSTR'(s('h4/type/num/num',C1),s(A,I1),s(fun('h4/type/num/num','h4/type/ind_type/recspace'(A)),R1))) = s('h4/type/ind_type/recspace'(A),'h4/const/ind_type/CONSTR'(s('h4/type/num/num',C2),s(A,I2),s(fun('h4/type/num/num','h4/type/ind_type/recspace'(A)),R2))) <=> (s('h4/type/num/num',C1) = s('h4/type/num/num',C2) & (s(A,I1) = s(A,I2) & s(fun('h4/type/num/num','h4/type/ind_type/recspace'(A)),R1) = s(fun('h4/type/num/num','h4/type/ind_type/recspace'(A)),R2))))).
