Commit 2025-12-14 15:40 fcf037de

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feat: extend Stieltjes measures to more general index types (#32482) Stieltjes measures are currently only defined on the real line. We extend the definition to more general index sets, to allow for instance the nonnegative reals or compact intervals. Some proofs become more cumbersome because we have to deal with the possibility of a bottom or a top element, but the end results are exactly the same as on the real line.

Estimated changes

added theorem Ioc_diff_botSet
added theorem Ioo_subset_Iotop
added def Iotop
added theorem Iotop_subset_Ioc
modified theorem StieltjesFunction.add_apply
modified theorem StieltjesFunction.ext
modified theorem StieltjesFunction.outer_Ioc
added def botSet
added theorem isOpen_Iotop
added theorem measurableSet_botSet
added theorem notMem_botSet_of_lt