%   ORIGINAL: 'h4/thm/relation/RINTER_COMM_'
% 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: !R2 R1. 'h4/const/relation/RINTER' R1 R2 = 'h4/const/relation/RINTER' R2 R1
%   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: !R2 R1. 'h4/const/relation/RINTER' R1 R2 = 'h4/const/relation/RINTER' R2 R1
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_3f29403,V_3f29399]: ![F, G]: (![X]: s(V_3f29399,happ(s(fun(V_3f29403,V_3f29399),F),s(V_3f29403,X))) = s(V_3f29399,happ(s(fun(V_3f29403,V_3f29399),G),s(V_3f29403,X))) => s(fun(V_3f29403,V_3f29399),F) = s(fun(V_3f29403,V_3f29399),G))).
fof('h4/thm/relation/RINTER_COMM_', conjecture, ![A,B]: ![R2, R1]: s(fun(A,fun(B,bool)),'h4/const/relation/RINTER'(s(fun(A,fun(B,bool)),R1),s(fun(A,fun(B,bool)),R2))) = s(fun(A,fun(B,bool)),'h4/const/relation/RINTER'(s(fun(A,fun(B,bool)),R2),s(fun(A,fun(B,bool)),R1)))).
