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Theorems · Theorem · logic and foundations

Part.Dom.bind

∀ {α : Type u_1} {β : Type u_2} {o : Part α} (h : o.Dom) (f : α → Part β), o.bind f = f (o.get h)
Defined in
Mathlib.Data.Part
Cited by
1 results in Mathlib
Foundations
Depth 13 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.

Part.bind_toOption · cited by 0Part.bind_toOptionPart · cited by 325PartPart.Dom · cited by 145Part.DomPart.get · cited by 77Part.getPart.bind · cited by 70Part.bindPart.ext · cited by 24Part.extPart.get_mem · cited by 6Part.get_memPart.get_eq_of_mem · cited by 3Part.get_eq_of_memDom.bindCITED BYCITES

Cites7

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.