deffunc H₁( Element of SCM+FSA-Instr , SCM+FSA-State) -> SCM+FSA-State = SCM+FSA-Exec-Res $1,$2;
consider f being Function of [:SCM+FSA-Instr ,(product SCM+FSA-OK ):],(product SCM+FSA-OK ) such that
A1: for x being Element of SCM+FSA-Instr
for y being SCM+FSA-State holds f . x,y = H₁(x,y) from BINOP_1:sch 4();
take curry f ; :: thesis: for x being Element of SCM+FSA-Instr
for y being SCM+FSA-State holds ((curry f) . x) . y = SCM+FSA-Exec-Res x,y
let x be Element of SCM+FSA-Instr ; :: thesis: for y being SCM+FSA-State holds ((curry f) . x) . y = SCM+FSA-Exec-Res x,y
let y be SCM+FSA-State; :: thesis: ((curry f) . x) . y = SCM+FSA-Exec-Res x,y
thus ((curry f) . x) . y = f . x,y by CAT_2:3
.= SCM+FSA-Exec-Res x,y by A1 ; :: thesis: verum