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Theorems · Definition · order theory

BoundedLatticeHom.comp

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} →
      [inst : Lattice α] →
        [inst_1 : Lattice β] →
          [inst_2 : Lattice γ] →
            [inst_3 : BoundedOrder α] →
              [inst_4 : BoundedOrder β] →
                [inst_5 : BoundedOrder γ] → BoundedLatticeHom β γ → BoundedLatticeHom α β → BoundedLatticeHom α γ

Composition of BoundedLatticeHoms as a BoundedLatticeHom.

Defined in
Mathlib.Order.Hom.BoundedLattice
Cited by
28 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LatticeLatticeLatticeBoundedOrderBoundedOrderBoundedOrder

Around this declaration

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

BoundedLatticeHom.comp_apply · cited by 1BoundedLatticeHom.comp_ap…BoundedLatticeHom.asBoolRing_comp · cited by 0BoundedLatticeHom.asBoolR…BoundedLatticeHom.cancel_left · cited by 0BoundedLatticeHom.cancel_…BooleanSubalgebra.subtype_comp_inclusion · cited by 0BooleanSubalgebra.subtype…BoundedLatticeHom.cancel_right · cited by 0BoundedLatticeHom.cancel_…BoundedLatticeHom.coe_comp · cited by 0BoundedLatticeHom.coe_compLatticeHom.withBotWithTop_comp · cited by 0LatticeHom.withBotWithTop…BoundedLatticeHom.coe_comp_inf_hom · cited by 0BoundedLatticeHom.coe_com…BoundedLatticeHom.coe_comp_inf_hom' · cited by 0BoundedLatticeHom.coe_com…BoundedLatticeHom.coe_comp_lattice_hom · cited by 0BoundedLatticeHom.coe_com…BoundedLatticeHom.coe_comp_lattice_hom' · cited by 0BoundedLatticeHom.coe_com…BddDistLat.hom_comp · cited by 0BddDistLat.hom_compBoundedLatticeHom.coe_comp_sup_hom · cited by 0BoundedLatticeHom.coe_com…BoundedLatticeHom.coe_comp_sup_hom' · cited by 0BoundedLatticeHom.coe_com…LatticeHom.withTopWithBot_comp · cited by 0LatticeHom.withTopWithBot…Lattice · cited by 916LatticeBoundedOrder · cited by 270BoundedOrderLatticeHom · cited by 192LatticeHomBoundedLatticeHom · cited by 185BoundedLatticeHomBoundedOrderHom · cited by 54BoundedOrderHomLatticeHom.comp · cited by 27LatticeHom.compBoundedOrderHom.comp · cited by 14BoundedOrderHom.compBoundedLatticeHom.toLatticeHom · cited by 4BoundedLatticeHom.toLatti…BoundedLatticeHom.toBoundedOrderHom · cited by 1BoundedLatticeHom.toBound…BoundedLatticeHom.compCITED BYCITES

Cites9

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

Cited by28

Results whose statement or proof uses this declaration.