OrdinalApprox.nextFixed_eq_iSup_lfpApprox

∀ {α : Type u} [inst : CompleteLattice α] (f : α →o α) {x : α} (hx : x ≤ f x),
  ↑(f.nextFixed x hx) = ⨆ a, OrdinalApprox.lfpApprox f x a

The ordinal-indexed supremum of lfpApprox equals nextFixed: the least fixed point greater than or equal to x.

Defined in: Mathlib.SetTheory.Ordinal.FixedPointApproximants
Cited by: 1 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompleteLattice

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