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Theorems · Definition · order theory

BoundedLatticeHom.toBoundedOrderHom

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Lattice α] →
      [inst_1 : Lattice β] →
        [inst_2 : BoundedOrder α] → [inst_3 : BoundedOrder β] → BoundedLatticeHom α β → BoundedOrderHom α β

Reinterpret a BoundedLatticeHom as a BoundedOrderHom.

Defined in
Mathlib.Order.Hom.BoundedLattice
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LatticeLatticeBoundedOrderBoundedOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

BoundedLatticeHom.comp · cited by 28BoundedLatticeHom.compBoundedLatticeHom.copy · cited by 2BoundedLatticeHom.copyBoundedLatticeHom.coe_toBoundedOrderHom · cited by 0BoundedLatticeHom.coe_toB…OrderHom · cited by 934OrderHomLattice · cited by 916LatticeBoundedOrder · cited by 270BoundedOrderBoundedLatticeHom · cited by 185BoundedLatticeHomBoundedOrderHom · cited by 54BoundedOrderHomOrderHomClass.toOrderHom · cited by 44OrderHomClass.toOrderHomSupHom.toFun · cited by 43SupHom.toFunLatticeHom.toSupHom · cited by 31LatticeHom.toSupHomBoundedLatticeHom.toLatticeHom · cited by 4BoundedLatticeHom.toLatti…BoundedLatticeHom.map_bot' · cited by 0BoundedLatticeHom.map_bot'BoundedLatticeHom.map_top' · cited by 0BoundedLatticeHom.map_top'BoundedLatticeHom.toBoundedOr…CITED BYCITES

Cites11

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

Cited by3

Results whose statement or proof uses this declaration.