Theorems · Theorem · commutative algebra
multiplicity_le_of_emultiplicity_le
∀ {α : Type u_1} [inst : Monoid α] {a b : α} {n : ℕ}, emultiplicity a b ≤ ↑n → multiplicity a b ≤ n- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement · cited by 4,985
- Monoidstatement and proof · cited by 3,887
- LE.le.transproof · cited by 3,151
- emultiplicitystatement and proof · cited by 156
- multiplicitystatement · cited by 117
- multiplicity_le_emultiplicityproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Squarefree.natFactorization_le_oneproof · cited by 3