Theorems · Theorem · order theory
OrderHom.prevFixed_le
∀ {α : Type u} [inst : CompleteLattice α] (f : α →o α) {x : α} (hx : f x ≤ x), ↑(f.prevFixed x hx) ≤ x- Defined in
- Mathlib.Order.FixedPoints
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
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
- Setstatement · cited by 53,352
- CompleteLatticestatement and proof · cited by 1,048
- OrderHomstatement and proof · cited by 934
- Function.fixedPointsstatement · cited by 90
- OrderHom.prevFixedstatement · cited by 4
- OrderHom.gfp_const_inf_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- OrderHom.le_nextFixedproof · cited by 2