Skip to content

feat(LocalField): valuation of nonachimedean local field is rank one discrete #38251

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

Open
WenrongZou wants to merge 2 commits into
base: master
Choose a base branch
from
+6 −0
Open

feat(LocalField): valuation of nonachimedean local field is rank one discrete #38251

Changes from all commits
Commits
Show all changes
2 commits
Select commit Hold shift + click to select a range
277f50a
feat(LocalField): valuation of nonachimedean local field is rank one …
WenrongZou Apr 19, 2026
8f4c22f
small change
WenrongZou Apr 20, 2026
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
6 changes: 6 additions & 0 deletions Mathlib/NumberTheory/LocalField/Basic.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -126,6 +126,12 @@ def valueGroupWithZeroIsoInt : ValueGroupWithZero K ≃*o ℤᵐ⁰ := by
(Units.map_injective (f := e.symm.toMonoidHom) e.symm.injective).nontrivial
exact ⟨e.symm.trans (LocallyFiniteOrder.orderMonoidWithZeroEquiv _)⟩

instance : IsCyclic (ValueGroupWithZero K)ˣ :=
(Units.mapEquiv (valueGroupWithZeroIsoInt K).toMulEquiv).isCyclic.mpr inferInstance

instance : Nontrivial (ValueGroupWithZero K)ˣ :=
ValuativeRel.isNontrivial_iff_nontrivial_units.mp inferInstance

instance : ValuativeRel.IsDiscrete K :=
(ValuativeRel.nonempty_orderIso_withZeroMul_int_iff.mp ⟨valueGroupWithZeroIsoInt K⟩).1

Expand Down
Loading