Theorems · Theorem · commutative algebra
FiniteMultiplicity.emultiplicity_self
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [IsCancelMulZero α] {a : α},
FiniteMultiplicity a a → emultiplicity a a = 1- Defined in
- Mathlib.RingTheory.Multiplicity
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement · cited by 4,985
- Nat.cast_oneproof · cited by 2,501
- CommMonoidWithZerostatement and proof · cited by 913
- IsCancelMulZerostatement and proof · cited by 177
- emultiplicitystatement · cited by 156
- FiniteMultiplicitystatement and proof · cited by 73
- FiniteMultiplicity.emultiplicity_eq_multiplicityproof · cited by 31
- multiplicity_selfproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Nat.Prime.emultiplicity_selfproof · cited by 1
- Int.two_pow_sub_powproof · cited by 1