[Merged by Bors] - feat(Data/List/Chain): lemmas on Chain' and replicate#17106
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[Merged by Bors] - feat(Data/List/Chain): lemmas on Chain' and replicate#17106
Chain' and replicate#17106Conversation
PR summary 7784cd0f31Import changes for modified filesNo significant changes to the import graph Import changes for all files
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2 tasks
b-mehta
reviewed
Sep 25, 2024
b-mehta
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Sep 26, 2024
Contributor
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Not so sure I agree, we could also have n <= 1: it's feasible that other
lemmas relating chain and replicate exist. But this name is probably fine
for now
…On Wed, 2 Oct 2024, 19:58 Violeta Hernández, ***@***.***> wrote:
***@***.**** commented on this pull request.
------------------------------
In Mathlib/Data/List/Chain.lean
<#17106 (comment)>
:
> @@ -419,6 +419,30 @@ lemma Chain'.iterate_eq_of_apply_eq {α : Type*} {f : α → α} {l : List α}
apply hl
omega
+theorem chain_replicate [IsRefl α r] (n : ℕ) (a : α) : Chain r a (replicate n a) :=
Reflexive relations are precisely the ones for which replicate is always
chain', so I'm not sure there's a need to disambiguate.
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You are right, there's other possible theorems of this sort. Another one would be simply I'll rename once I'm able to. |
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Actually your suggested lemma is probably a better thing to add anyway, instead of our current statement; it's just stronger! |
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🚀 Pull request has been placed on the maintainer queue by b-mehta. |
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Co-authored-by: Bhavik Mehta <[email protected]>
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Chain' and replicateChain' and replicate
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Co-authored-by: Bhavik Mehta [email protected]