Mathlib Map

Theorems · Theorem · logic and foundations

Part.eq_none_iff

∀ {α : Type u_1} {o : Part α}, o = Part.none ↔ ∀ (a : α), a ∉ o
Defined in
Mathlib.Data.Part
Cited by
6 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Part.bind_none · cited by 9Part.bind_nonePart.map_none · cited by 5Part.map_noneNat.Partrec.ppred · cited by 4Partrec.ppredPart.eq_none_iff' · cited by 2Part.eq_none_iff'Nat.Partrec.none · cited by 2Partrec.noneNat.rfind_zero_none · cited by 1Nat.rfind_zero_nonePart · cited by 325PartPart.none · cited by 36Part.nonePart.ext · cited by 24Part.extPart.notMem_none · cited by 1Part.notMem_nonePart.eq_none_iffCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.