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Theorems · Theorem · commutative algebra

IsDiscreteValuationRing.addVal_zero

∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : IsDiscreteValuationRing R],
  (IsDiscreteValuationRing.addVal R) 0 = ⊤
Defined in
Mathlib.RingTheory.DiscreteValuationRing.Basic
Cited by
3 results in Mathlib
Foundations
Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomainIsDiscreteValuationRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsDiscreteValuationRing.addVal_eq_top_iff · cited by 4IsDiscreteValuationRing.a…IsDiscreteValuationRing.toWithBotNat_zero · cited by 1IsDiscreteValuationRing.t…IsDiscreteValuationRing.addVal_le_iff_dvd · cited by 1IsDiscreteValuationRing.a…DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingTop.top · cited by 9680Top.topENat · cited by 4985ENatIsDomain · cited by 2196IsDomainIsDiscreteValuationRing · cited by 117IsDiscreteValuationRingAddValuation · cited by 96AddValuationIsDiscreteValuationRing.addVal · cited by 22IsDiscreteValuationRing.a…AddValuation.map_zero · cited by 5AddValuation.map_zeroIsDiscreteValuationRing.addVa…CITED BYCITES

Cites9

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Cited by3

Results whose statement or proof uses this declaration.