-
Notifications
You must be signed in to change notification settings - Fork 331
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Split off a
Ideal/BigOperators.lean
file to avoid increasing import…
… count too much.
- Loading branch information
1 parent
272748f
commit f65306b
Showing
6 changed files
with
35 additions
and
5 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,30 @@ | ||
/- | ||
Copyright (c) 2018 Kenny Lau. All rights reserved. | ||
Released under Apache 2.0 license as described in the file LICENSE. | ||
Authors: Kenny Lau, Chris Hughes, Mario Carneiro | ||
-/ | ||
import Mathlib.Algebra.Module.Submodule.Basic | ||
import Mathlib.RingTheory.Ideal.Defs | ||
|
||
/-! | ||
# Big operators for ideals | ||
This contains some results on the big operators `∑` and `∏` interacting with the `Ideal` type. | ||
-/ | ||
|
||
|
||
universe u v w | ||
|
||
variable {α : Type u} {β : Type v} {F : Type w} | ||
|
||
namespace Ideal | ||
|
||
variable [Semiring α] (I : Ideal α) {a b : α} | ||
|
||
theorem sum_mem (I : Ideal α) {ι : Type*} {t : Finset ι} {f : ι → α} : | ||
(∀ c ∈ t, f c ∈ I) → (∑ i ∈ t, f i) ∈ I := | ||
Submodule.sum_mem I | ||
|
||
end Ideal | ||
|
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters