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Theorems · Definition · order theory

LowerSet.iicInfHom

{α : Type u_1} → [inst : SemilatticeInf α] → InfHom α (LowerSet α)

LowerSet.Iic as an InfHom.

Defined in
Mathlib.Order.UpperLower.Hom
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
SemilatticeInf
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LowerSet.iicInfHom_apply · cited by 0LowerSet.iicInfHom_applyLowerSet.coe_iicInfHom · cited by 0LowerSet.coe_iicInfHomSemilatticeInf · cited by 634SemilatticeInfLowerSet · cited by 230LowerSetInfHom · cited by 69InfHomLowerSet.Iic · cited by 37LowerSet.IicLowerSet.Iic_inf · cited by 0LowerSet.Iic_infLowerSet.iicInfHomCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.