Mathlib Map

Theorems · Definition · order theory

SemilatticeSup.sup

{α : Type u} → [self : SemilatticeSup α] → α → α → α

The binary supremum, used to derive Max α

Defined in
Mathlib.Order.Lattice
Cited by
5 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
SemilatticeSup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SemilatticeSup.sup_le · cited by 1SemilatticeSup.sup_leSemilatticeSup.le_sup_left · cited by 1SemilatticeSup.le_sup_leftSemilatticeSup.le_sup_right · cited by 1SemilatticeSup.le_sup_rig…PresheafOfModules.Submodule.sup_obj · cited by 0Submodule.sup_objCategoryTheory.SubmonoidFunctor.sup_obj · cited by 0SubmonoidFunctor.sup_objSemilatticeSup · cited by 785SemilatticeSupSemilatticeSup.supCITED BYCITES

Cites1

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

Cited by5

Results whose statement or proof uses this declaration.