Mathlib Map

Theorems · Theorem · commutative algebra

WithVal.ofVal_mul

∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀)
  (x y : WithVal v), (x * y).ofVal = x.ofVal * y.ofVal
Defined in
Mathlib.Topology.Algebra.Valued.WithVal
Cited by
1 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
LinearOrderedCommGroupWithZeroRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WithVal.equiv · cited by 36WithVal.equivValuation.IsEquiv.uniformContinuous_equiv · cited by 2IsEquiv.uniformContinuous…Ring · cited by 7463RingValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…WithVal · cited by 151WithValWithVal.ofVal · cited by 47WithVal.ofValWithVal.ofVal_mulCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.