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Theorems · Definition · commutative algebra

ValuativeRel.RankLeOneStruct.emb

{R : Type u_1} →
  [inst : Semiring R] →
    [inst_1 : ValuativeRel R] → ValuativeRel.RankLeOneStruct R → ValuativeRel.ValueGroupWithZero R →*₀ NNReal

The embedding of the value group-with-zero into the nonnegative reals.

Defined in
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
Cited by
1 results in Mathlib
Foundations
Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringValuativeRel
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ValuativeRel.RankLeOneStruct.strictMono · cited by 0RankLeOneStruct.strictMonoSemiring · cited by 13802SemiringNNReal · cited by 4310NNRealMonoidWithZeroHom · cited by 704MonoidWithZeroHomValuativeRel · cited by 241ValuativeRelValuativeRel.ValueGroupWithZero · cited by 86ValuativeRel.ValueGroupWi…ValuativeRel.RankLeOneStruct · cited by 7ValuativeRel.RankLeOneStr…RankLeOneStruct.embCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.