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Theorems · Theorem · order theory

OrderHom.gfp_const_inf_le

∀ {α : Type u} [inst : CompleteLattice α] (f : α →o α) (x : α), OrderHom.gfp ((OrderHom.const α) x ⊓ f) ≤ x
Defined in
Mathlib.Order.FixedPoints
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
CompleteLattice
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Around this declaration

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

OrderHom.prevFixed_le · cited by 1OrderHom.prevFixed_leDFunLike.coe · cited by 62936DFunLike.coeLE.le.trans · cited by 3151le.transCompleteLattice · cited by 1048CompleteLatticeOrderHom · cited by 934OrderHominf_le_left · cited by 286inf_le_leftOrderHom.gfp · cited by 16OrderHom.gfpOrderHom.const · cited by 8OrderHom.constOrderHom.gfp_le · cited by 1OrderHom.gfp_leOrderHom.gfp_const_inf_leCITED BYCITES

Cites8

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.