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Theorems · Definition · general topology

ClopenUpperSet.mk.noConfusion

{α : Type u_2} →
  {inst : TopologicalSpace α} →
    {inst_1 : LE α} →
      {P : Sort u} →
        {toClopens : TopologicalSpace.Clopens α} →
          {upper' : IsUpperSet toClopens.carrier} →
            {toClopens' : TopologicalSpace.Clopens α} →
              {upper'' : IsUpperSet toClopens'.carrier} →
                { toClopens := toClopens, upper' := upper' } = { toClopens := toClopens', upper' := upper'' } →
                  (toClopens ≍ toClopens' → P) → P
Defined in
Mathlib.Topology.Sets.Order
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
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Around this declaration

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ClopenUpperSet.mk.inj · cited by 1mk.injTopologicalSpace · cited by 24529TopologicalSpaceIsUpperSet · cited by 148IsUpperSetTopologicalSpace.Clopens · cited by 53TopologicalSpace.ClopensClopenUpperSet · cited by 14ClopenUpperSetTopologicalSpace.Clopens.carrier · cited by 10Clopens.carrierClopenUpperSet.noConfusion · cited by 0ClopenUpperSet.noConfusionmk.noConfusionCITED BYCITES

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Cited by1

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