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Theorems · Theorem · commutative algebra

ValuativeRel.vle_div_iff

∀ {K : Type u_2} [inst : DivisionRing K] [inst_1 : ValuativeRel K] {a b c : K}, c ≠ 0 → (a ≤ᵥ b / c ↔ a * c ≤ᵥ b)
Defined in
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
Cited by
1 results in Mathlib
Foundations
Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingValuativeRel
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Around this declaration

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

ValuativeRel.one_vle_div_iff · cited by 1ValuativeRel.one_vle_div_…DivisionRing · cited by 1062DivisionRingValuativeRel · cited by 241ValuativeReldiv_mul_cancel₀ · cited by 122div_mul_cancel₀ValuativeRel.vle · cited by 84ValuativeRel.vleValuativeRel.mul_vle_mul_iff_left · cited by 5ValuativeRel.mul_vle_mul_…ValuativeRel.vle_div_iffCITED BYCITES

Cites5

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Cited by1

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