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[Merged by Bors] - feat(order/ideal): add partial_order instance to order.ideal #5909

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Add some instances for order.ideal, some of them conditional on
having extra structure on the carrier preorder P:

  • In all cases, ideal P is a partial order.

  • If P has a bottom element, so does ideal P.

  • If P has a top element, so does ideal P.
    (Although this could be weekened to P being directed.)

Also, add some @[ext], @[simp], @[trans] lemmas.


Add some instances for `order.ideal`, some of them conditional on
having extra structure on the carrier preorder `P`:

* In all cases, `ideal P` is a partial order.

* If `P` has a bottom element, so does `ideal P`.

* If `P` has a top element, so does `ideal P`.
  (Although this could be weekened to `P` being directed.)

Also, add some `@[ext]`, `@[simp]`, `@[trans]` lemmas.
@mguaypaq mguaypaq requested a review from dwarn January 26, 2021 21:54
@bryangingechen bryangingechen added the awaiting-review The author would like community review of the PR label Jan 26, 2021
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Thanks 🎉

bors merge

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Jan 27, 2021
bors bot pushed a commit that referenced this pull request Jan 27, 2021
Add some instances for `order.ideal`, some of them conditional on
having extra structure on the carrier preorder `P`:

* In all cases, `ideal P` is a partial order.

* If `P` has a bottom element, so does `ideal P`.

* If `P` has a top element, so does `ideal P`.
  (Although this could be weekened to `P` being directed.)

Also, add some `@[ext]`, `@[simp]`, `@[trans]` lemmas.
@mguaypaq mguaypaq removed the request for review from dwarn January 27, 2021 14:26
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bors bot commented Jan 27, 2021

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(order/ideal): add partial_order instance to order.ideal [Merged by Bors] - feat(order/ideal): add partial_order instance to order.ideal Jan 27, 2021
@bors bors bot closed this Jan 27, 2021
@bors bors bot deleted the ideal_poset branch January 27, 2021 16:13
b-mehta pushed a commit that referenced this pull request Apr 2, 2021
Add some instances for `order.ideal`, some of them conditional on
having extra structure on the carrier preorder `P`:

* In all cases, `ideal P` is a partial order.

* If `P` has a bottom element, so does `ideal P`.

* If `P` has a top element, so does `ideal P`.
  (Although this could be weekened to `P` being directed.)

Also, add some `@[ext]`, `@[simp]`, `@[trans]` lemmas.
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5 participants