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Theorems · Theorem · order theory

Part.Fix.exists_fix_le_approx

∀ {α : Type u_1} {β : α → Type u_2} (f : ((a : α) → Part (β a)) →o (a : α) → Part (β a)) (x : α),
  ∃ i, Part.fix (⇑f) x ≤ Part.Fix.approx (⇑f) i x
Defined in
Mathlib.Control.LawfulFix
Cited by
1 results in Mathlib
Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Part.fix_eq_ωSup · cited by 2Part.fix_eq_ωSupDFunLike.coe · cited by 62936DFunLike.coeOrderHom · cited by 934OrderHomPart · cited by 325PartPart.mem_unique · cited by 18Part.mem_uniquePart.Fix.approx · cited by 11Fix.approxPart.fix · cited by 9Part.fixPart.Fix.approx_le_fix · cited by 2Fix.approx_le_fixPart.Fix.mem_iff · cited by 2Fix.mem_iffFix.exists_fix_le_approxCITED BYCITES

Cites8

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Cited by1

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