Mathlib Map

Theorems · Definition · order theory

InfHom.withBot

{α : Type u_1} →
  {β : Type u_2} → [inst : SemilatticeInf α] → [inst_1 : SemilatticeInf β] → InfHom α β → InfHom (WithBot α) (WithBot β)

Adjoins a ⊥ to the domain and codomain of an InfHom.

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

Around this declaration

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

LatticeHom.withBot · cited by 4LatticeHom.withBotInfHom.withBot_comp · cited by 0InfHom.withBot_compInfHom.withBot_id · cited by 0InfHom.withBot_idInfHom.withBot_toFun · cited by 0InfHom.withBot_toFunDFunLike.coe · cited by 62936DFunLike.coeWithBot · cited by 1498WithBotSemilatticeInf · cited by 634SemilatticeInfInfHom · cited by 69InfHomWithBot.map · cited by 66WithBot.mapInfHom.withBotCITED BYCITES

Cites5

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.