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Theorems · Theorem · commutative algebra

Valuation.ltAddSubgroup_monotone

∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation R Γ₀),
  Monotone v.ltAddSubgroup
Defined in
Mathlib.RingTheory.Valuation.Basic
Cited by
1 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingLinearOrderedCommGroupWithZero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Valuation.ltSubmodule_monotone · cited by 0Valuation.ltSubmodule_mon…Ring · cited by 7463RingAddSubgroup · cited by 3232AddSubgroupUnits · cited by 2804UnitsMonotone · cited by 1397MonotoneValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…LE.le.trans_lt' · cited by 50le.trans_lt'Valuation.ltAddSubgroup · cited by 12Valuation.ltAddSubgroupUnits.val_le_val · cited by 5Units.val_le_valValuation.ltAddSubgroup_monot…CITED BYCITES

Cites9

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Cited by1

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