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extension theorem #395

Merged
merged 4 commits into from
Aug 4, 2021
Merged

extension theorem #395

merged 4 commits into from
Aug 4, 2021

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affeldt-aist
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@affeldt-aist affeldt-aist commented Jun 17, 2021

  • build an outer measure out of a measure over a ring of sets

Extracted from PR #371

TODO: issue about the epsilon trick lemma, see below

@affeldt-aist affeldt-aist force-pushed the measure_20210618 branch 4 times, most recently from 54e930b to d090e44 Compare June 23, 2021 14:36
@affeldt-aist affeldt-aist added this to the 0.3.10 milestone Jun 23, 2021
Comment on lines 1084 to 1085
\sum_(i <oo | P i) (A i + (e%:nngnum / (2 ^ i)%:R)%:E) <=
\sum_(i <oo | P i) A i + (2 * e%:nngnum)%:E.
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Would

Suggested change
\sum_(i <oo | P i) (A i + (e%:nngnum / (2 ^ i)%:R)%:E) <=
\sum_(i <oo | P i) A i + (2 * e%:nngnum)%:E.
\sum_(i <oo | P i) (A i + (e%:nngnum / (2 ^ i.+1)%:R)%:E) <=
\sum_(i <oo | P i) A i + e%:nngnum%:E.

be more practical by any chance?

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possibly with e : \bar R such that 0 <= e?

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@affeldt-aist affeldt-aist Jul 19, 2021

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be more practical by any chance?

It seems to shorten a bit the proofs where it is used (one occurrence in measure.v and another in measure_wip.v not commited yet). NB: the commit in question: b22e2ce

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possibly with e : \bar R such that 0 <= e?

Is it ok to issue and wait for PR #403 to check this one?

affeldt-aist added a commit that referenced this pull request Jul 22, 2021
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@CohenCyril CohenCyril merged commit 6db5e90 into master Aug 4, 2021
@CohenCyril CohenCyril deleted the measure_20210618 branch August 4, 2021 21:24
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