Theorems · Theorem · order theory
Part.fix_le
∀ {α : Type u_1} {β : α → Type u_2} (f : ((a : α) → Part (β a)) →o (a : α) → Part (β a)) {X : (a : α) → Part (β a)},
f X ≤ X → Part.fix ⇑f ≤ X- Defined in
- Mathlib.Control.LawfulFix
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- OrderHomstatement and proof · cited by 934
- Partstatement and proof · cited by 325
- bot_leproof · cited by 306
- OrderHom.monotoneproof · cited by 70
- OmegaCompletePartialOrder.ωSup_leproof · cited by 11
- Part.Fix.approxproof · cited by 11
- Part.fixstatement · cited by 9
- Part.Fix.approxChainproof · cited by 6
- Part.Fix.approx_monoproof · cited by 2
- Part.fix_eq_ωSupproof · cited by 2
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