Theorems · Theorem · logic and foundations
OrdinalApprox.lfp_mem_range_lfpApprox
∀ {α : Type u} [inst : CompleteLattice α] (f : α →o α), OrderHom.lfp f ∈ Set.range (OrdinalApprox.lfpApprox f ⊥)Some approximation of the least fixed point starting from ⊥ is the least fixed point.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Bot.botstatement · cited by 4,720
- Set.rangestatement · cited by 4,705
- Ordinalstatement · cited by 1,688
- CompleteLatticestatement and proof · cited by 1,048
- Cardinal.mkproof · cited by 942
- OrderHomstatement and proof · cited by 934
- Order.succproof · cited by 633
- Cardinal.ordproof · cited by 266
- OrdinalApprox.lfpApproxstatement · cited by 21
- OrderHom.lfpstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- OrdinalApprox.gfp_mem_range_gfpApproxproof · cited by 0