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Theorems · Theorem · logic and foundations

Part.map_bind

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_4} (f : α → Part β) (x : Part α) (g : β → γ),
  Part.map g (x.bind f) = x.bind fun y => Part.map g (f y)
Defined in
Mathlib.Data.Part
Cited by
4 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Partrec.bind · cited by 10Partrec.bindPartrec.nat_rec · cited by 3Partrec.nat_recComputable.bind_decode_iff · cited by 1Computable.bind_decode_iffTuring.ToPartrec.Code.exists_code · cited by 0Code.exists_codePart · cited by 325PartPart.some · cited by 111Part.somePart.bind · cited by 70Part.bindPart.map · cited by 65Part.mapPart.bind_some_eq_map · cited by 6Part.bind_some_eq_mapPart.bind_assoc · cited by 5Part.bind_assocPart.map_bindCITED BYCITES

Cites6

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

Cited by4

Results whose statement or proof uses this declaration.