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Theorems · Theorem · commutative algebra

FiniteMultiplicity.ne_zero

∀ {α : Type u_1} [inst : MonoidWithZero α] {a b : α}, FiniteMultiplicity a b → b ≠ 0
Defined in
Mathlib.RingTheory.Multiplicity
Cited by
3 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext
Assumes
MonoidWithZero
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Around this declaration

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

emultiplicity_zero · cited by 10emultiplicity_zeromultiplicity_self · cited by 2multiplicity_selfmultiplicity_zero · cited by 0multiplicity_zeroMonoidWithZero · cited by 456MonoidWithZeroFiniteMultiplicity · cited by 73FiniteMultiplicityFiniteMultiplicity.ne_zeroCITED BYCITES

Cites2

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Cited by3

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