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Theorems · Theorem · general topology

ClopenUpperSet.mk.inj

∀ {α : Type u_2} {inst : TopologicalSpace α} {inst_1 : LE α} {toClopens : TopologicalSpace.Clopens α}
  {upper' : IsUpperSet toClopens.carrier} {toClopens_1 : TopologicalSpace.Clopens α}
  {upper'_1 : IsUpperSet toClopens_1.carrier},
  { toClopens := toClopens, upper' := upper' } = { toClopens := toClopens_1, upper' := upper'_1 } →
    toClopens = toClopens_1
Defined in
Mathlib.Topology.Sets.Order
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
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Around this declaration

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

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