Mathlib Map

Theorems · Definition · order theory

BoundedOrderHom.comp

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

Composition of BoundedOrderHoms as a BoundedOrderHom.

Defined in
Mathlib.Order.Hom.Bounded
Cited by
14 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
PreorderPreorderPreorderBoundedOrderBoundedOrderBoundedOrder

Around this declaration

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

BoundedLatticeHom.comp · cited by 28BoundedLatticeHom.compBoundedOrderHom.comp_apply · cited by 1BoundedOrderHom.comp_applyBoundedOrderHom.comp_assoc · cited by 0BoundedOrderHom.comp_assocBoundedOrderHom.comp_id · cited by 0BoundedOrderHom.comp_idBddOrd.hom_comp · cited by 0BddOrd.hom_compBoundedOrderHom.symm_dual_comp · cited by 0BoundedOrderHom.symm_dual…BoundedOrderHom.dual_comp · cited by 0BoundedOrderHom.dual_compBoundedOrderHom.cancel_left · cited by 0BoundedOrderHom.cancel_le…BoundedOrderHom.id_comp · cited by 0BoundedOrderHom.id_compBddOrd.ofHom_comp · cited by 0BddOrd.ofHom_compBoundedOrderHom.cancel_right · cited by 0BoundedOrderHom.cancel_ri…BoundedOrderHom.coe_comp · cited by 0BoundedOrderHom.coe_compBoundedOrderHom.coe_comp_botHom · cited by 0BoundedOrderHom.coe_comp_…BoundedOrderHom.coe_comp_orderHom · cited by 0BoundedOrderHom.coe_comp_…BoundedOrderHom.coe_comp_topHom · cited by 0BoundedOrderHom.coe_comp_…Preorder · cited by 7952PreorderOrderHom · cited by 934OrderHomBoundedOrder · cited by 270BoundedOrderOrderHom.comp · cited by 61OrderHom.compBoundedOrderHom · cited by 54BoundedOrderHomBotHom · cited by 37BotHomTopHom · cited by 37TopHomBotHom.comp · cited by 12BotHom.compTopHom.comp · cited by 12TopHom.compBoundedOrderHom.toOrderHom · cited by 4BoundedOrderHom.toOrderHomBoundedOrderHom.toTopHom · cited by 0BoundedOrderHom.toTopHomBoundedOrderHom.toBotHom · cited by 0BoundedOrderHom.toBotHomBoundedOrderHom.compCITED BYCITES

Cites12

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

Cited by15

Results whose statement or proof uses this declaration.