Theorems · Definition · order theory
InfTopHom.comp
{α : Type u_2} →
{β : Type u_3} →
{γ : Type u_4} →
[inst : Min α] →
[inst_1 : Top α] →
[inst_2 : Min β] →
[inst_3 : Top β] → [inst_4 : Min γ] → [inst_5 : Top γ] → InfTopHom β γ → InfTopHom α β → InfTopHom α γComposition of InfTopHoms as an InfTopHom.
- Defined in
- Mathlib.Order.Hom.BoundedLattice
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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.
- Topstatement and proof · cited by 93
- InfHomproof · cited by 69
- InfTopHomstatement and proof · cited by 60
- TopHomproof · cited by 37
- InfHom.compproof · cited by 17
- TopHom.compproof · cited by 12
- InfTopHom.toInfHomproof · cited by 10
- InfTopHom.toTopHomproof · cited by 1
- TopHom.map_top'proof · cited by 0
Cited by13
Results whose statement or proof uses this declaration.
- FrameHom.compproof · cited by 10
- InfTopHom.comp_applystatement · cited by 1
- SupBotHom.symm_dual_compstatement · cited by 0
- InfTopHom.id_compstatement · cited by 0
- SupBotHom.dual_compstatement · cited by 0
- InfTopHom.cancel_leftstatement and proof · cited by 0
- InfTopHom.cancel_rightstatement and proof · cited by 0
- InfHom.withTop_compstatement and proof · cited by 0
- InfTopHom.coe_compstatement · cited by 0
- InfTopHom.comp_assocstatement · cited by 0
- InfTopHom.comp_idstatement · cited by 0
- InfTopHom.symm_dual_compstatement · cited by 0