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 γComposition 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- OrderHomproof · cited by 934
- BoundedOrderstatement and proof · cited by 270
- OrderHom.compproof · cited by 61
- BoundedOrderHomstatement and proof · cited by 54
- BotHomproof · cited by 37
- TopHomproof · cited by 37
- BotHom.compproof · cited by 12
- TopHom.compproof · cited by 12
- BoundedOrderHom.toOrderHomproof · cited by 4
- BoundedOrderHom.toTopHomproof · cited by 0
- BoundedOrderHom.toBotHomproof · cited by 0
Cited by15
Results whose statement or proof uses this declaration.
- BoundedLatticeHom.compproof · cited by 28
- BoundedOrderHom.comp_applystatement · cited by 1
- BoundedOrderHom.comp_assocstatement · cited by 0
- BoundedOrderHom.comp_idstatement · cited by 0
- BddOrd.hom_compstatement · cited by 0
- BoundedOrderHom.symm_dual_compstatement · cited by 0
- BoundedOrderHom.dual_compstatement · cited by 0
- BoundedOrderHom.cancel_leftstatement and proof · cited by 0
- BoundedOrderHom.id_compstatement · cited by 0
- BddOrd.ofHom_compstatement · cited by 0
- BoundedOrderHom.cancel_rightstatement and proof · cited by 0
- BoundedOrderHom.coe_compstatement · cited by 0