Theorems · Theorem · number theory
Nat.Prime.emultiplicity_self
∀ {p : ℕ}, Nat.Prime p → emultiplicity p p = 1- Defined in
- Mathlib.Data.Nat.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement · cited by 4,985
- Nat.Primestatement and proof · cited by 2,059
- emultiplicitystatement · cited by 156
- Nat.Prime.posproof · cited by 83
- Nat.Prime.ne_oneproof · cited by 61
- Nat.finiteMultiplicity_iffproof · cited by 13
- FiniteMultiplicity.emultiplicity_selfproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Prime.emultiplicity_factorial_mul_succproof · cited by 1