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Theorems · Theorem · general topology

OnePoint.compl_image_coe

∀ {X : Type u_1} (s : Set X), (OnePoint.some '' s)ᶜ = OnePoint.some '' sᶜ ∪ {OnePoint.infty}
Defined in
Mathlib.Topology.Compactification.OnePoint.Basic
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

OnePoint.nhdsNE_infty_eq · cited by 1OnePoint.nhdsNE_infty_eqSet · cited by 53352SetSet.image · cited by 5609Set.imageCompl.compl · cited by 2925Compl.complOnePoint · cited by 126OnePointOnePoint.infty · cited by 102OnePoint.inftyOnePoint.some · cited by 76OnePoint.someOnePoint.coe_injective · cited by 6OnePoint.coe_injectiveOnePoint.compl_range_coe · cited by 3OnePoint.compl_range_coeFunction.Injective.compl_image_eq · cited by 1Injective.compl_image_eqOnePoint.compl_image_coeCITED BYCITES

Cites9

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

Cited by1

Results whose statement or proof uses this declaration.