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Theorems · Theorem · logic and foundations

Part.mem_toOption

∀ {α : Type u_1} {o : Part α} [inst : Decidable o.Dom] {a : α}, a ∈ o.toOption ↔ a ∈ o
Defined in
Mathlib.Data.Part
Cited by
2 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext
Assumes
Decidable
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Part.of_toOption · cited by 1Part.of_toOptionPart.toOption_eq_some_iff · cited by 0Part.toOption_eq_some_iffPart · cited by 325PartPart.Dom · cited by 145Part.DomPart.get · cited by 77Part.getExists.fst · cited by 22Exists.fstPart.toOption · cited by 16Part.toOptionPart.mem_toOptionCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.