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Theorems · Definition · number theory

IsDvdSequence

{α : Type u_1} → {β : Type u_2} → [Dvd α] → [Dvd β] → (α → β) → Prop

A function f : α → β is a divisibility sequence if a ∣ b implies f a ∣ f b.

Defined in
Mathlib.Data.Nat.DvdSequence
Cited by
10 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
DvdDvd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsEllipticDvdSequence · cited by 4IsEllipticDvdSequenceIsDvdSequence.id · cited by 2IsDvdSequence.idIsDvdSequence.smul · cited by 2IsDvdSequence.smulIsDvdSequence.smul' · cited by 2IsDvdSequence.smul'IsDvdSequence.const · cited by 1IsDvdSequence.constNat.IsStrongDvdSequence.isDvdSequence · cited by 1IsStrongDvdSequence.isDvd…Nat.isDvdSequence_fib · cited by 1Nat.isDvdSequence_fibisDivSequence_id · cited by 0isDivSequence_idIsDvdSequence.mul · cited by 0IsDvdSequence.mulIsDivSequence · cited by 0IsDivSequenceIsDivSequence.smul · cited by 0IsDivSequence.smulNat.fib_dvd · cited by 0Nat.fib_dvdIsDvdSequenceCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by12

Results whose statement or proof uses this declaration.