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Theorems · Theorem · number theory

IsDvdSequence.smul

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : Dvd α] [inst_1 : Monoid β] [inst_2 : Monoid γ] {f : α → γ}
  [inst_3 : SMul β γ] [IsScalarTower β γ γ] [IsScalarTower β β γ] [SMulCommClass β γ γ] (b : β),
  IsDvdSequence f → IsDvdSequence (b • f)
Defined in
Mathlib.Data.Nat.DvdSequence
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
Assumes
DvdMonoidMonoidSMulIsScalarTowerIsScalarTowerSMulCommClass
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Around this declaration

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

IsEllipticDvdSequence.smul · cited by 1IsEllipticDvdSequence.smulIsDivSequence.smul · cited by 0IsDivSequence.smulIsScalarTower · cited by 3896IsScalarTowerMonoid · cited by 3887MonoidSMulCommClass · cited by 1927SMulCommClassIsDvdSequence · cited by 10IsDvdSequenceIsDvdSequence.smul' · cited by 2IsDvdSequence.smul'IsDvdSequence.const · cited by 1IsDvdSequence.constIsDvdSequence.smulCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.