Theorems · Theorem · commutative algebra
Valuation.ltSubmodule_monotone
∀ {R : Type u} {Γ₀ : Type v} [inst : Ring R] [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation R Γ₀),
Monotone v.ltSubmodule- Defined in
- Mathlib.RingTheory.Valuation.Integers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- Unitsstatement · cited by 2,804
- Monotonestatement · cited by 1,397
- Valuationstatement and proof · cited by 823
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Valuation.integerstatement · cited by 68
- Valuation.ltSubmodulestatement · cited by 4
- Valuation.ltAddSubgroup_monotoneproof · cited by 1
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