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[Merged by Bors] - feat(Algebra/Order/AbsoluteValue): Add AbsoluteValue.{le_add,sub_le_add}#10561

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[Merged by Bors] - feat(Algebra/Order/AbsoluteValue): Add AbsoluteValue.{le_add,sub_le_add}#10561
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@girving girving commented Feb 14, 2024

These triangle inequalities bound abv (a + b) from below and abv (a - b) from above, and are essentially AbsoluteValue.le_sub and .add_le with signs flipped, respectively.


I use these inequalities for the bound tactic (Zulip, and they seem appropriate to add as core AbsoluteValue lemmas.

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These triangle inequalities bound `abv (a + b)` from below and `abv (a - b)`
from above, are essentially `AbsoluteValue.le_sub` and `.add_le` with
signs flipped, respectively.
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maintainer merge

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🚀 Pull request has been placed on the maintainer queue by ericrbg.

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🚀 Pull request has been placed on the maintainer queue by ericrbg.

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bors d+

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mathlib-bors bot commented Feb 15, 2024

✌️ girving can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@ghost ghost added delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). and removed awaiting-review labels Feb 15, 2024
Co-authored-by: Eric Rodriguez <ericrboidi@gmail.com>
@girving girving changed the title feat(Algebra/Order/AbsoluteValue): Add AbsoluteValue.{le_add,sub_le'} feat(Algebra/Order/AbsoluteValue): Add AbsoluteValue.{le_add,sub_le_add} Feb 15, 2024
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girving commented Feb 15, 2024

bors r+

mathlib-bors bot pushed a commit that referenced this pull request Feb 15, 2024
…dd} (#10561)

These triangle inequalities bound `abv (a + b)` from below and `abv (a - b)` from above, and are essentially `AbsoluteValue.le_sub` and `.add_le` with signs flipped, respectively.
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mathlib-bors bot commented Feb 15, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Algebra/Order/AbsoluteValue): Add AbsoluteValue.{le_add,sub_le_add} [Merged by Bors] - feat(Algebra/Order/AbsoluteValue): Add AbsoluteValue.{le_add,sub_le_add} Feb 15, 2024
@mathlib-bors mathlib-bors bot closed this Feb 15, 2024
@mathlib-bors mathlib-bors bot deleted the GI_abv branch February 15, 2024 11:05
riccardobrasca pushed a commit that referenced this pull request Feb 18, 2024
…dd} (#10561)

These triangle inequalities bound `abv (a + b)` from below and `abv (a - b)` from above, and are essentially `AbsoluteValue.le_sub` and `.add_le` with signs flipped, respectively.
dagurtomas pushed a commit that referenced this pull request Mar 22, 2024
…dd} (#10561)

These triangle inequalities bound `abv (a + b)` from below and `abv (a - b)` from above, and are essentially `AbsoluteValue.le_sub` and `.add_le` with signs flipped, respectively.
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