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feat: add APIs about Quotient.choice #5995

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Some docs in this PR refer to the definition in #5576.


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@FR-vdash-bot FR-vdash-bot added awaiting-review RFC Request for comment labels Jul 19, 2023
Mathlib/Data/Quot.lean Outdated Show resolved Hide resolved
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Aug 10, 2023
@bors bors bot changed the base branch from master to ScottCarnahan/BinomialRing2 September 17, 2023 03:24
@FR-vdash-bot FR-vdash-bot changed the base branch from ScottCarnahan/BinomialRing2 to master September 17, 2023 11:45
@leanprover-community-mathlib4-bot leanprover-community-mathlib4-bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. label Sep 17, 2023
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This looks reasonable, but I know there was some previous discussion involving @eric-wieser. What's the situation here?

noncomputable def Quotient.choice {ι : Type*} {α : ι → Type*} [S : ∀ i, Setoid (α i)]
/-- Given a class of functions `q : @Quotient (∀ i, α i) _`, returns the class of `i`-th projection
`Quotient (S i)`. -/
def Quotient.proj {ι : Sort*} {α : ι → Sort*} [S : ∀ i, Setoid (α i)]
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Should that not be called something like Quotient.eval instead?

@YaelDillies YaelDillies added awaiting-author A reviewer has asked the author a question or requested changes and removed new-feature labels Jun 6, 2024
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