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Theorems · Theorem · commutative algebra

Associates.count_zero

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : DecidableEq (Associates α)]
  [inst_2 : (p : Associates α) → Decidable (Irreducible p)] {p : Associates α}, Irreducible p → p.count 0 = 0
Defined in
Mathlib.RingTheory.UniqueFactorizationDomain.FactorSet
Cited by
5 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Quot.sound
Assumes
CommMonoidWithZeroDecidableEqDecidable
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Around this declaration

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

Associates.count_pow · cited by 3Associates.count_powFractionalIdeal.count_self · cited by 3FractionalIdeal.count_selfFractionalIdeal.count_maximal_coprime · cited by 2FractionalIdeal.count_max…FractionalIdeal.count_coe · cited by 1FractionalIdeal.count_coeIsDedekindDomain.HeightOneSpectrum.intValuation.map_one' · cited by 0intValuation.map_one'Multiset · cited by 2627MultisetCommMonoidWithZero · cited by 913CommMonoidWithZeroIrreducible · cited by 496IrreducibleAssociates · cited by 210AssociatesAssociates.count · cited by 79Associates.countAssociates.FactorSet · cited by 52Associates.FactorSetAssociates.bcount · cited by 6Associates.bcountAssociates.count_zeroCITED BYCITES

Cites7

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Cited by5

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