Theorems · Theorem · commutative algebra
Int.multiplicity_natAbs
∀ (a : ℕ) (b : ℤ), multiplicity a b.natAbs = multiplicity (↑a) b
- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- multiplicitystatement · cited by 117
- multiplicity_eq_of_emultiplicity_eqproof · cited by 8
- Int.emultiplicity_natAbsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- padicValInt.of_ne_one_ne_zeroproof · cited by 3