Theorems · Theorem · order theory
Part.Fix.approx_mono
∀ {α : Type u_1} {β : α → Type u_2} (f : ((a : α) → Part (β a)) →o (a : α) → Part (β a)) ⦃i j : ℕ⦄,
i ≤ j → Part.Fix.approx (⇑f) i ≤ Part.Fix.approx (⇑f) j- Defined in
- Mathlib.Control.LawfulFix
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- le_rflproof · cited by 1,558
- le_transproof · cited by 985
- OrderHomstatement and proof · cited by 934
- Partstatement and proof · cited by 325
- Part.Fix.approxstatement and proof · cited by 11
- Part.Fix.approx_mono'proof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Part.Fix.approxChainproof · cited by 6
- Part.Fix.mem_iffproof · cited by 2
- Part.fix_leproof · cited by 0