Theorems · Definition · order theory

CeilDiv.noConfusionType

Sort u →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : AddCommMonoid α] →
        [inst_1 : PartialOrder α] →
          [inst_2 : AddCommMonoid β] →
            [inst_3 : PartialOrder β] →
              [inst_4 : SMulZeroClass α β] →
                CeilDiv α β →
                  {α' : Type u_2} →
                    {β' : Type u_3} →
                      [inst' : AddCommMonoid α'] →
                        [inst'_1 : PartialOrder α'] →
                          [inst'_2 : AddCommMonoid β'] →
                            [inst'_3 : PartialOrder β'] → [inst'_4 : SMulZeroClass α' β'] → CeilDiv α' β' → Sort u

Defined in: Mathlib.Algebra.Order.Floor.Div
Cited by: 0 results in Mathlib
Foundations: Depth 10 from the axioms · uses no axioms
Assumes: AddCommMonoid PartialOrder AddCommMonoid PartialOrder SMulZeroClass AddCommMonoid PartialOrder AddCommMonoid PartialOrder SMulZeroClass

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Cites6

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

AddCommMonoidstatement and proof · cited by 12,281
PartialOrderstatement and proof · cited by 6,410
GaloisConnectionproof · cited by 253
SMulZeroClassstatement and proof · cited by 213
CeilDivstatement and proof · cited by 20
CeilDiv.casesOnproof · cited by 0

Cited by1

Results whose statement or proof uses this declaration.

CeilDiv.noConfusionstatement · cited by 0