Mathlib Map

Theorems · Theorem · logic and foundations

OrdinalApprox.gfpApprox_zero

∀ {α : Type u} [inst : CompleteLattice α] (f : α →o α) {x : α}, OrdinalApprox.gfpApprox f x 0 = x
Defined in
Mathlib.SetTheory.Ordinal.FixedPointApproximants
Cited by
1 results in Mathlib
Foundations
Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompleteLattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CantorBendixson.iteratedDerivedSet_zero · cited by 2CantorBendixson.iteratedD…DFunLike.coe · cited by 62936DFunLike.coeOrdinal · cited by 1688OrdinalCompleteLattice · cited by 1048CompleteLatticeOrderHom · cited by 934OrderHomOrderHom.dual · cited by 48OrderHom.dualOrdinalApprox.gfpApprox · cited by 23OrdinalApprox.gfpApproxOrdinalApprox.lfpApprox_zero · cited by 4OrdinalApprox.lfpApprox_z…OrdinalApprox.gfpApprox_zeroCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.