Theorems · Definition · order theory
Part.Fix.approxChain
{α : Type u_1} →
{β : α → Type u_2} →
(((a : α) → Part (β a)) →o (a : α) → Part (β a)) → OmegaCompletePartialOrder.Chain ((a : α) → Part (β a))The series of approximations of fix f (see approx) as a Chain
- Defined in
- Mathlib.Control.LawfulFix
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- OrderHomstatement and proof · cited by 934
- Partstatement and proof · cited by 325
- OmegaCompletePartialOrder.Chainstatement · cited by 85
- Part.Fix.approxproof · cited by 11
- Part.Fix.approx_monoproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Part.fix_eq_ωSupstatement and proof · cited by 2
- Part.Fix.le_f_of_mem_approxstatement and proof · cited by 1
- Part.fix_eq_ωSup_of_ωScottContinuousstatement · cited by 1
- Part.Fix.approx_mem_approxChainstatement · cited by 0
- Part.fix_eq_of_ωScottContinuousproof · cited by 0
- Part.fix_leproof · cited by 0