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Theorems · Definition · order theory

Quantale.noConfusionType

Sort u →
  {α : Type u_1} →
    [inst : Semigroup α] →
      [inst_1 : CompleteLattice α] →
        [inst_2 : IsQuantale α] →
          Quantale α →
            {α' : Type u_1} →
              [inst' : Semigroup α'] → [inst'_1 : CompleteLattice α'] → [inst'_2 : IsQuantale α'] → Quantale α' → Sort u
Defined in
Mathlib.Algebra.Order.Quantale
Cited by
0 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
SemigroupCompleteLatticeIsQuantaleSemigroupCompleteLatticeIsQuantale
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Around this declaration

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

Quantale.noConfusion · cited by 0Quantale.noConfusionCompleteLattice · cited by 1048CompleteLatticeSemigroup · cited by 202SemigroupIsQuantale · cited by 13IsQuantaleQuantale · cited by 1QuantaleQuantale.casesOn · cited by 0Quantale.casesOnQuantale.noConfusionTypeCITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.