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Theorems · Theorem · commutative algebra

Valuation.comap_apply

∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] {S : Type u_7}
  [inst_2 : Ring S] (f : S →+* R) (v : Valuation R Γ₀) (s : S), (Valuation.comap f v) s = v (f s)
Defined in
Mathlib.RingTheory.Valuation.Basic
Cited by
1 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingLinearOrderedCommMonoidWithZeroRing
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Around this declaration

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

Valuation.comap_supp · cited by 2Valuation.comap_suppDFunLike.coe · cited by 62936DFunLike.coeRingHom · cited by 10189RingHomRing · cited by 7463RingValuation · cited by 823ValuationLinearOrderedCommMonoidWithZero · cited by 139LinearOrderedCommMonoidWi…Valuation.comap · cited by 15Valuation.comapValuation.comap_applyCITED BYCITES

Cites6

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Cited by1

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