Sentence:  We finish this section by briefly addressing how the reduction procedure for \mathsf{EMU} described so far can be formalized in the <WSD>transfinitely</WSD> iterated fixed point theory \widehat{\mathsf{ID_{<\varepsilon_0} of [18] in order to yield conservativity of \mathsf{EMU} over \widehat{\mathsf{ID_{<\varepsilon_0} with respect to arithmetic statements. 
Meaning of the word marked with <WSD> tags:  In a manner that requires a transfinite number of steps.