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 γComposition 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- BoundedOrderstatement and proof · cited by 270
- LatticeHomproof · cited by 192
- BoundedLatticeHomstatement and proof · cited by 185
- BoundedOrderHomproof · cited by 54
- LatticeHom.compproof · cited by 27
- BoundedOrderHom.compproof · cited by 14
- BoundedLatticeHom.toLatticeHomproof · cited by 4
- BoundedLatticeHom.toBoundedOrderHomproof · cited by 1
Cited by28
Results whose statement or proof uses this declaration.
- BoundedLatticeHom.comp_applystatement · cited by 1
- BoundedLatticeHom.asBoolRing_compstatement · cited by 0
- BoundedLatticeHom.cancel_leftstatement and proof · cited by 0
- BooleanSubalgebra.subtype_comp_inclusionstatement · cited by 0
- BoundedLatticeHom.cancel_rightstatement and proof · cited by 0
- BoundedLatticeHom.coe_compstatement · cited by 0
- LatticeHom.withBotWithTop_compstatement · cited by 0
- BoundedLatticeHom.coe_comp_inf_homstatement · cited by 0
- BoundedLatticeHom.coe_comp_inf_hom'statement · cited by 0
- BoundedLatticeHom.coe_comp_lattice_homstatement · cited by 0
- BoundedLatticeHom.coe_comp_lattice_hom'statement · cited by 0
- BddDistLat.hom_compstatement · cited by 0