consider f being Function of {0 ,1},O;
take
I -TwoStatesMooreSM 0 ,1,f
; :: thesis: ( I -TwoStatesMooreSM 0 ,1,f is calculating_type & I -TwoStatesMooreSM 0 ,1,f is halting )
thus
( I -TwoStatesMooreSM 0 ,1,f is calculating_type & I -TwoStatesMooreSM 0 ,1,f is halting )
; :: thesis: verum