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Theorems · Definition · logic and foundations

Part.fixAux

{α : Type u_1} →
  {β : α → Type u_2} →
    (((a : α) → Part (β a)) → (a : α) → Part (β a)) →
      {p : ℕ → Prop} → (i : Nat.Upto p) → ((j : Nat.Upto p) → i < j → (a : α) → Part (β a)) → (a : α) → Part (β a)

loop body for finding the fixed point of f

Defined in
Mathlib.Control.Fix
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses no axioms
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Around this declaration

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

Part.fix · cited by 9Part.fixPart.fix_def · cited by 1Part.fix_defPart · cited by 325PartPart.assert · cited by 10Part.assertNat.Upto · cited by 2Nat.UptoNat.Upto.succ · cited by 1Upto.succPart.fixAuxCITED BYCITES

Cites4

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.