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Theorems · Theorem · commutative algebra

WithVal.ofVal_toVal

∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀)
  (x : R), (WithVal.toVal v x).ofVal = x
Defined in
Mathlib.Topology.Algebra.Valued.WithVal
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
LinearOrderedCommGroupWithZeroRing
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Around this declaration

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

WithVal.toVal_injective · cited by 3WithVal.toVal_injectiveWithVal.ofVal_surjective · cited by 2WithVal.ofVal_surjectiveRing · cited by 7463RingValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…WithVal.ofVal · cited by 47WithVal.ofValWithVal.ofVal_toValCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.