[verb (masu stem)] + こそすれ + [negative clause]
[noun] + こそすれ + [negative clause]
Common fixed patterns:
Note: こそすれ is a grammaticalized form (こそ + する conditional すれ). The verb before こそすれ typically appears in masu-stem (連用形) form, or a noun that would pair with する is used directly before こそすれ.
The structure こそすれ~ない is a formal, emphatic expression used to assert that while something may certainly be the case, the opposite or a contrasting outcome is definitely not true. It carries a strong nuance of "it may well be X, but it is certainly never Y." The こそ emphasizes the first clause, and すれ is the hypothetical/conditional form of する, though the pattern is largely fixed and grammaticalized.
This structure is used to strongly deny an undesirable interpretation or outcome while affirming the reality of the situation. It appears primarily in written language, formal speech, essays, and arguments.
The pattern attaches to a verb (usually in dictionary form or a noun that pairs with する) followed by こそすれ, then a clause with a negative predicate expressing what is emphatically denied.
Nouns that take する are very common with this pattern:
Regular verbs can also be used:
こそすれ is fixed. You do not conjugate すれ further; it always appears in this form.