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Therefore by Theorem [11] we know ∫ 0 t S ( t − s ) Q ( X ( s ) ) d W ( s ). has a predictable version for all t ∈ [ 0, T ].
So far we have proved ∫ 0 t S ( t − s ) Q ( X ( s ) ) d W ( s ) has a predictable version which is an element in H 2 ( T, H ). 4. There is a version of ∫ 0 t ∫ Z S ( t − s ) F ( X ( s − ), z ) N ˜ ( d s, d z ), t ∈ [ 0, T ], which is in H 2 ( T, H ). It is easy to show 1 [ 0, t ] ( s ) S ( t − s ) F ( X ( s − ), z ) is predictable.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com