[Merged by Bors] - feat(Algebra/Group/Pi/Lemmas): add Pi.mulSingle_pow#16774
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[Merged by Bors] - feat(Algebra/Group/Pi/Lemmas): add Pi.mulSingle_pow#16774AntoineChambert-Loir wants to merge 7 commits intomasterfrom
AntoineChambert-Loir wants to merge 7 commits intomasterfrom
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PR summary 26604ca4ccImport changes for modified filesNo significant changes to the import graph Import changes for all files
Declarations diff
You can run this locally as follows## summary with just the declaration names:
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## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for |
b-mehta
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Sep 13, 2024
b-mehta
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Sep 13, 2024
Co-authored-by: Bhavik Mehta <bm489@cam.ac.uk>
Co-authored-by: Bhavik Mehta <bm489@cam.ac.uk>
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Thanks!
bors r+
…On Fri, 13 Sept 2024, 20:47 Antoine Chambert-Loir, ***@***.***> wrote:
***@***.**** commented on this pull request.
------------------------------
In Mathlib/Algebra/Group/Pi/Lemmas.lean
<#16774 (comment)>
:
> @@ -248,6 +248,15 @@ theorem Pi.mulSingle_div [∀ i, Group <| f i] (i : I) (x y : f i) :
mulSingle i (x / y) = mulSingle i x / mulSingle i y :=
(MonoidHom.mulSingle f i).map_div x y
***@***.***_additive]
+theorem Pi.mulSingle_pow [∀ i, Monoid (f i)] (i : I) (x : f i) (n : ℕ) :
+ mulSingle i (x ^ n) = (mulSingle i x) ^ n :=
+ (MonoidHom.mulSingle f i).map_pow x n
+
***@***.***_additive]
+theorem Pi.mulSingle_zpow [∀ i, Group (f i)] (i : I) (x : f i) (n : ℤ) :
+ Pi.mulSingle i (x ^ n) = (Pi.mulSingle i x) ^ n :=
+ (MonoidHom.mulSingle f i).map_zpow x not
yes, last minute typo…
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add two lemmas of the form `Pi.mulSingle_pow`
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Pull request successfully merged into master. Build succeeded: |
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add two lemmas of the form
Pi.mulSingle_pow