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Theorems · Theorem · commutative algebra

WithVal.lt_def

∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] {v : Valuation R Γ₀}
  {a b : WithVal v}, a < b ↔ v a.ofVal < v b.ofVal
Defined in
Mathlib.Topology.Algebra.Valued.WithVal
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
LinearOrderedCommGroupWithZeroRing
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Around this declaration

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

Valuation.IsEquiv.uniformContinuous_equiv · cited by 2IsEquiv.uniformContinuous…Valuation.IsEquiv.uniformContinuous_equiv_symm · cited by 1IsEquiv.uniformContinuous…DFunLike.coe · cited by 62936DFunLike.coeRing · cited by 7463RingValuation · cited by 823ValuationLinearOrderedCommGroupWithZero · cited by 528LinearOrderedCommGroupWit…WithVal · cited by 151WithValWithVal.ofVal · cited by 47WithVal.ofValWithVal.lt_defCITED BYCITES

Cites6

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Cited by2

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