Theorems · Theorem · commutative algebra
Valuation.leIdeal_map_algebraMap_eq_leSubmodule_min
∀ {Γ₀ : Type v} [inst : LinearOrderedCommGroupWithZero Γ₀] {K : Type u_1} [inst_1 : Field K] (v : Valuation K Γ₀)
(γ : Γ₀), Submodule.map (Algebra.linearMap (↥v.integer) K) (v.leIdeal γ) = v.leSubmodule (min 1 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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- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Fieldstatement and proof · cited by 7,404
- Submodulestatement · cited by 7,192
- Algebra.algebraMapproof · cited by 4,706
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- Valuationstatement and proof · cited by 823
- Submodule.mapstatement · cited by 614
- Subringstatement · cited by 602
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Subtype.propproof · cited by 505
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