Theorems · Definition · logic and foundations
Part.Fix.approx
{α : Type u_1} → {β : α → Type u_2} → (((a : α) → Part (β a)) → (a : α) → Part (β a)) → Stream' ((a : α) → Part (β a))A series of successive, finite approximation of the fixed point of f, defined by
approx f n = f^[n] ⊥. The limit of this chain is the fixed point of f.
- Defined in
- Mathlib.Control.Fix
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by13
Results whose statement or proof uses this declaration.
- Part.fixproof · cited by 9
- Part.Fix.approxChainproof · cited by 6
- Part.Fix.approx_mono'statement and proof · cited by 4
- Part.Fix.approx_le_fixstatement and proof · cited by 2
- Part.Fix.approx_monostatement and proof · cited by 2
- Part.Fix.mem_iffstatement and proof · cited by 2
- Part.fix_eq_ωSupproof · cited by 2
- Part.Fix.exists_fix_le_approxstatement and proof · cited by 1
- Part.fix_defstatement and proof · cited by 1
- Part.fix_def'statement and proof · cited by 1
- Part.Fix.approx_mem_approxChainstatement · cited by 0
- Part.Fix.approx.eq_defstatement and proof · cited by 0