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missing lemmas about ereal (#1264)
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* missing lemmas about ereal
* dual variants
* renamings
* minor generalization

---------

Co-authored-by: Pierre Roux <[email protected]>
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affeldt-aist and proux01 authored Jul 25, 2024
1 parent b3cb11a commit 899c141
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42 changes: 42 additions & 0 deletions CHANGELOG_UNRELEASED.md
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- in `realfun.v`:
+ lemma `nondecreasing_at_left_is_cvgr`

- in `constructive_ereal.v`:
+ lemmas `lteD2rE`, `leeD2rE`
+ lemmas `lte_dD2rE`, `lee_dD2rE`

### Changed

- in `topology.v`:
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- in `measure.v`:
+ `setD_closed` -> `setSD_closed`

- in `constructive_ereal.v`:
+ `lte_dadd` -> `lte_dD`
+ `lee_daddl` -> `lee_dDl`
+ `lee_daddr` -> `lee_dDr`
+ `gee_daddl` -> `gee_dDl`
+ `gee_daddr` -> `gee_dDr`
+ `lte_daddl` -> `lte_dDl`
+ `lte_daddr` -> `lte_dDr`
+ `gte_dsubl` -> `gte_dBl`
+ `gte_dsubr` -> `gte_dBr`
+ `gte_daddl` -> `gte_dDl`
+ `gte_daddr` -> `gte_dDr`
+ `lee_dadd2lE` -> `lee_dD2lE`
+ `lte_dadd2lE` -> `lte_dD2lE`
+ `lee_dadd2rE` -> `lee_dD2rE`
+ `lee_dadd2l` -> `lee_dD2l`
+ `lee_dadd2r` -> `lee_dD2r`
+ `lee_dadd` -> `lee_dD`
+ `lee_dsub` -> `lee_dB`
+ `lte_dsubl_addr` -> `lte_dBlDr`
+ `lte_dsubl_addl` -> `lte_dBlDl`
+ `lte_dsubr_addr` -> `lte_dBrDr`
+ `lte_dsubr_addl` -> `lte_dBrDl`
+ `gte_opp` -> `gteN`
+ `gte_dopp` -> `gte_dN`
+ `lte_le_add` -> `lte_leD`
+ `lee_lt_add` -> `lee_ltD`
+ `lte_le_dadd` -> `lte_le_dD`
+ `lee_lt_dadd` -> `lee_lt_dD`
+ `lte_le_sub` -> `lte_leB`
+ `lte_le_dsub` -> `lte_le_dB`

### Generalized

- in `constructive_ereal.v`:
+ lemmas `leeN2`, `lteN2` generalized from `realDomainType` to `numDomainType`

### Deprecated

- in `reals.v`:
+ `floor_le` (use `ge_floor` instead)
+ `le_floor` (use `Num.Theory.floor_le` instead)
+ `le_ceil` (use `ceil_ge` instead)

- in `constructive_ereal.v`:
+ lemmas `lte_opp2`, `lee_opp2` (use `lteN2`, `leeN2` instead)

### Removed

- in `reals.v`:
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