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Theorems · Definition · order theory

SupHom.withBot

{α : Type u_1} →
  {β : Type u_2} →
    [inst : SemilatticeSup α] → [inst_1 : SemilatticeSup β] → SupHom α β → SupBotHom (WithBot α) (WithBot β)

Adjoins a ⊥ to the domain and codomain of a SupHom.

Defined in
Mathlib.Order.Hom.WithTopBot
Cited by
3 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
SemilatticeSupSemilatticeSup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LatticeHom.withBot · cited by 4LatticeHom.withBotSupHom.withBot_comp · cited by 0SupHom.withBot_compSupHom.withBot_id · cited by 0SupHom.withBot_idSupHom.withBot_toFun · cited by 0SupHom.withBot_toFunDFunLike.coe · cited by 62936DFunLike.coeWithBot · cited by 1498WithBotSemilatticeSup · cited by 785SemilatticeSupSupHom · cited by 68SupHomWithBot.map · cited by 66WithBot.mapSupBotHom · cited by 54SupBotHomSupHom.withBotCITED BYCITES

Cites6

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

Cited by4

Results whose statement or proof uses this declaration.