Measurable type for normed modules (generalizes PR#2016) - #2017
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| Section normed_lemmas. | ||
| Context {R : realType} {N : normedModType R}. | ||
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| Lemma set1_bigcap_ball (x : N) : [set x] = \bigcap_n ball x n.+1%:R^-1. |
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Maybe move to normed_module.v.
| Module MeasurableRopen. | ||
| Section measurableRopen. | ||
| Context {R : realType}. | ||
| Module MeasurableOpen. |
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Rename to MeasurableNormedModuleOpen.
| Context {R : realType} {N : normedModType R}. | ||
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| Definition measurableTypeR := g_sigma_algebraType (@open R). | ||
| Definition measurableTypeO := g_sigma_algebraType (@open N). |
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measurableTypeNormedModule
| Definition borel_display : measure_display := N.-open. | ||
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| Definition measurableR : set_system R := R.-open.-measurable. | ||
| Definition measurableO : set_system N := N.-open.-measurable. |
| solve [apply: measurable_funPTI; exact: measurable_set1] : core. | ||
| #[global] | ||
| Hint Extern 0 (measurable [set _]) => solve [apply: measurable_set1] : core. | ||
| #[global] |
| #[global] Hint Extern 0 (measurable (_ `&` _ @^-1` [set _])) => | ||
| solve [apply: measurable_funP1; assumption] : core. | ||
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| Section measurableReal. |
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TODO: check whether we can get rid of this
Co-authored-by: adjevahi <arthur.djevahirdjian@ens-lyon.fr> Co-authored-by: Alessandro Bruni <brun@itu.dk>
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Motivation for this change
fyi @affeldt-aist @hoheinzollern
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CHANGELOG_UNRELEASED.mdReference: How to document
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