Theorems · Definition · order theory
SupBotHom.comp
{α : Type u_2} →
{β : Type u_3} →
{γ : Type u_4} →
[inst : Max α] →
[inst_1 : Bot α] →
[inst_2 : Max β] →
[inst_3 : Bot β] → [inst_4 : Max γ] → [inst_5 : Bot γ] → SupBotHom β γ → SupBotHom α β → SupBotHom α γComposition of SupBotHoms as a SupBotHom.
- 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.
- Botstatement and proof · cited by 96
- SupHomproof · cited by 68
- SupBotHomstatement and proof · cited by 54
- BotHomproof · cited by 37
- SupHom.compproof · cited by 18
- BotHom.compproof · cited by 12
- SupBotHom.toSupHomproof · cited by 3
- SupBotHom.toBotHomproof · cited by 1
- BotHom.map_bot'proof · cited by 0
Cited by12
Results whose statement or proof uses this declaration.
- SupBotHom.comp_applystatement · cited by 1
- SupBotHom.comp_assocstatement · cited by 0
- SupBotHom.comp_idstatement · cited by 0
- SupBotHom.symm_dual_compstatement · cited by 0
- SupHom.withBot_compstatement and proof · cited by 0
- SupBotHom.dual_compstatement · cited by 0
- SupBotHom.id_compstatement · cited by 0
- SupBotHom.cancel_leftstatement and proof · cited by 0
- InfTopHom.symm_dual_compstatement · cited by 0
- SupBotHom.cancel_rightstatement and proof · cited by 0
- SupBotHom.coe_compstatement · cited by 0
- InfTopHom.dual_compstatement · cited by 0