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Theorems · Definition · commutative algebra

Valuation.leAddSubgroup

{R : Type u_3} →
  {Γ₀ : Type u_4} → [inst : Ring R] → [inst_1 : LinearOrderedCommGroupWithZero Γ₀] → Valuation R Γ₀ → Γ₀ → AddSubgroup R

The subgroup of elements whose valuation is less than or equal to a certain value.

Defined in
Mathlib.RingTheory.Valuation.Basic
Cited by
4 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingLinearOrderedCommGroupWithZero

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