Theorems · Theorem · number theory
Nat.properDivisors_one
Nat.properDivisors 1 = ∅
- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.filterproof · cited by 949
- Nat.properDivisorsstatement · cited by 52
- Finset.filter_emptyproof · cited by 23
- Finset.Ico_selfproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Nat.sum_properDivisors_eq_one_iff_primeproof · cited by 1
- Nat.sum_properDivisors_dvdproof · cited by 0