Theorems · Definition · group theory

DivisibleBy.noConfusionType

Sort u →
  {A : Type u_1} →
    {α : Type u_2} →
      [inst : AddMonoid A] →
        [inst_1 : SMul α A] →
          [inst_2 : Zero α] →
            DivisibleBy A α →
              {A' : Type u_1} →
                {α' : Type u_2} →
                  [inst' : AddMonoid A'] → [inst'_1 : SMul α' A'] → [inst'_2 : Zero α'] → DivisibleBy A' α' → Sort u

Defined in: Mathlib.GroupTheory.Divisible
Cited by: 0 results in Mathlib
Foundations: Depth 9 from the axioms · uses no axioms
Assumes: AddMonoid SMul Zero AddMonoid SMul Zero

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Cites3

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

AddMonoidstatement and proof · cited by 2,864
DivisibleBystatement and proof · cited by 8
DivisibleBy.casesOnproof · cited by 0

Cited by1

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DivisibleBy.noConfusionstatement · cited by 0