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Radon-Nikodym chain rule #1083

Merged
merged 13 commits into from
Jan 6, 2024
43 changes: 43 additions & 0 deletions CHANGELOG_UNRELEASED.md
Original file line number Diff line number Diff line change
Expand Up @@ -75,6 +75,47 @@
`ae_eq_mul2l`,
`ae_eq_mul1l`,
`ae_eq_abse`

- in `charge.v`
+ `charge_add` instance of `charge`
+ `cpushforward` instance of `charge`
+ `charge_of_finite_measure` instance of `charge`
+ lemma `cscaleE`
+ lemma `dominates_cscale`
+ lemma `caddE`
+ lemma `dominates_caddl`
+ lemma `dominates_pushforward`
+ lemma `cjordan_posE`
+ lemma `jordan_posE`
+ lemma `cjordan_negE`
+ lemma `jordan_negE`
+ lemma `Radon_Nikodym_sigma_finite_fin_num`
+ lemma `Radon_NikodymE`
+ lemma `Radon_Nikodym_fin_num`
+ lemma `ae_eq_Radon_Nikodym_SigmaFinite`
+ lemma `Radon_Nikodym_change_of_variables`
+ lemma `Radon_Nikodym_cscale`
+ lemma `Radon_Nikodym_cadd`
+ lemma `Radon_Nikodym_chain_rule`
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- in `sequences.v`:
+ lemma `minr_cvg_0_cvg_0`
+ lemma `mine_cvg_0_cvg_fin_num`
+ lemma `mine_cvg_minr_cvg`
+ lemma `mine_cvg_0_cvg_0`
+ lemma `maxr_cvg_0_cvg_0`
+ lemma `maxe_cvg_0_cvg_fin_num`
+ lemma `maxe_cvg_maxr_cvg`
+ lemma `maxe_cvg_0_cvg_0`
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### Changed

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- in `charge.v`
+ definition `jordan_decomp` now uses `cadd` and `cscale`
+ Definition `Radon_Nikodym_SigmaFinite` now be a module `Radon_Nikodym_SigmaFinite` with
* lemma `change_of_variables`
* lemma `integralM`
* lemma `chain_rule`

### Renamed

Expand All @@ -85,6 +126,8 @@

- in `lebesgue_integral.v`
+ `ge0_integral_bigsetU` generalized from `nat` to `eqType`
- in `lebesgue_measure.v`
+ an hypothesis of lemma `integral_ae_eq` is weakened
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### Deprecated

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