Skip to content

[Merged by Bors] - feat(Topology/Algebra/InfiniteSum): use NormMulClass #28756

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Closed
loefflerd wants to merge 2 commits into from
Closed

[Merged by Bors] - feat(Topology/Algebra/InfiniteSum): use NormMulClass #28756

Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
0f8c10c
feat(Topology/Algebra/InfiniteSum): use NormMulClass
loefflerd Aug 21, 2025
5d01f78
Update Field.lean
loefflerd Aug 21, 2025
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
12 changes: 7 additions & 5 deletions Mathlib/Topology/Algebra/InfiniteSum/Field.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -4,19 +4,21 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.Analysis.Normed.Group.Continuity
import Mathlib.Analysis.Normed.Field.Basic
import Mathlib.Analysis.Normed.Ring.Basic
import Mathlib.Topology.Algebra.InfiniteSum.Defs

/-!
# Infinite sums and products in topological fields

Lemmas on topological sums in fields (as opposed to groups).
Lemmas on topological sums in rings with a strictly multiplicative norm, of which normed fields are
the most familiar examples.
-/


section NormedField
section NormMulClass

variable {α E : Type*} [NormedField E] {f : α → E} {x : E}
variable {α E : Type*} [SeminormedCommRing E] [NormMulClass E] [NormOneClass E]
{f : α → E} {x : E}

nonrec theorem HasProd.norm (hfx : HasProd f x) : HasProd (‖f ·‖) ‖x‖ := by
simp only [HasProd, ← norm_prod]
Expand All @@ -30,4 +32,4 @@ protected theorem Multipliable.norm_tprod (hf : Multipliable f) : ‖∏' i, f i

@[deprecated (since := "2025-04-12")] alias norm_tprod := Multipliable.norm_tprod

end NormedField
end NormMulClass
⚡