Theorems · Theorem · commutative algebra
Valuation.leSubmodule_comap_algebraMap_eq_leIdeal
∀ {Γ₀ : Type v} [inst : LinearOrderedCommGroupWithZero Γ₀] {K : Type u_1} [inst_1 : Field K] (v : Valuation K Γ₀)
(γ : Γ₀), Submodule.comap (Algebra.linearMap (↥v.integer) K) (v.leSubmodule γ) = v.leIdeal γ- Defined in
- Mathlib.RingTheory.Valuation.Integers
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
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- RingHom.idstatement · cited by 18,349
- Fieldstatement and proof · cited by 7,404
- Submodulestatement · cited by 7,192
- Valuationstatement and proof · cited by 823
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Submodule.comapstatement · cited by 347
- Submodule.extproof · cited by 204
- Algebra.linearMapstatement · cited by 157
- Valuation.integerstatement and proof · cited by 68
- Valuation.leIdealstatement · cited by 7
- Valuation.leSubmodulestatement · cited by 7
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