Theorems · Definition · number theory
Int.divisors
ℤ → Finset ℤ
divisors z is the Finset of divisors of z. By convention, we set divisors 0 = ∅.
- Defined in
- Mathlib.NumberTheory.Divisors
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 65 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.
- Finsetstatement · cited by 13,712
- Finset.mapproof · cited by 747
- Equiv.toEmbeddingproof · cited by 254
- Nat.divisorsproof · cited by 137
- Function.Embedding.transproof · cited by 83
- Finset.disjUnionproof · cited by 55
- Equiv.negproof · cited by 53
- Nat.castEmbeddingproof · cited by 29
Cited by14
Results whose statement or proof uses this declaration.
- Int.mem_divisorsstatement · cited by 3
- Int.divisors_zerostatement · cited by 1
- Int.nonempty_divisorsstatement and proof · cited by 1
- Int.one_mem_divisorsstatement · cited by 1
- Int.divisors_eq_emptystatement · cited by 0
- Int.divisors_negstatement · cited by 0
- Int.divisors_onestatement · cited by 0
- Int.mem_divisors_iff_natAbs_mem_divisors_natAbsstatement · cited by 0
- Int.mem_divisors_selfstatement · cited by 0
- Int.image_fst_divisorsAntidiagstatement · cited by 0
- Int.image_snd_divisorsAntidiagstatement · cited by 0
- Int.neg_one_mem_divisorsstatement · cited by 0