Theorems · Theorem · commutative algebra

Valuation.map_add_supp

∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : CommRing R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation R Γ₀)
  (a : R) {s : R}, s ∈ v.supp → v (a + s) = v a

Defined in

Mathlib.RingTheory.Valuation.Basic

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

CommRingLinearOrderedCommMonoidWithZero