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Theorems · Theorem · commutative algebra

Associates.prod_top

∀ {α : Type u_1} [inst : CommMonoidWithZero α], ⊤.prod = 0
Defined in
Mathlib.RingTheory.UniqueFactorizationDomain.FactorSet
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
CommMonoidWithZero
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Around this declaration

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

Associates.FactorSet.unique · cited by 5FactorSet.uniqueAssociates.prod_mono · cited by 2Associates.prod_monoTop.top · cited by 9680Top.topMultiset · cited by 2627MultisetCommMonoidWithZero · cited by 913CommMonoidWithZeroIrreducible · cited by 496IrreducibleAssociates · cited by 210AssociatesAssociates.FactorSet · cited by 52Associates.FactorSetAssociates.FactorSet.prod · cited by 20FactorSet.prodAssociates.prod_topCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.