Theorems · Theorem · commutative algebra
WithVal.toVal_eq_zero
∀ {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 = 0 ↔ x = 0- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
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- Foundations
- Depth 13 from the axioms · uses no axioms
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- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithValstatement · cited by 151
- WithVal.toVal_injectiveproof · cited by 3
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