Theorems · Definition · number theory
Nat.Perfect
ℕ → Prop
n : ℕ is perfect if and only the sum of the proper divisors of n is n and n
is positive.
- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumproof · cited by 5,195
- Nat.properDivisorsproof · cited by 52
Cited by8
Results whose statement or proof uses this declaration.
- Nat.Perfect.pseudoperfectstatement and proof · cited by 1
- Nat.perfect_iff_sum_properDivisorsstatement · cited by 1
- Nat.abundant_iff_not_perfect_and_not_deficientstatement · cited by 0
- Nat.deficient_iff_not_abundant_and_not_perfectstatement · cited by 0
- Nat.perfect_iff_sum_divisors_eq_two_mulstatement · cited by 0
- Nat.deficient_or_perfect_or_abundantstatement · cited by 0
- Nat.perfect_iff_not_abundant_and_not_deficientstatement · cited by 0
- Nat.Prime.not_perfectstatement and proof · cited by 0