Mathlib Map

Theorems · Theorem · order theory

IsCompl.inf_sup

∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : BoundedOrder α] {x y x' y' : α},
  IsCompl x y → IsCompl x' y' → IsCompl (x ⊓ x') (y ⊔ y')
Defined in
Mathlib.Order.Disjoint
Cited by
1 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
DistribLatticeBoundedOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsComplemented.inf · cited by 1IsComplemented.infIsCompl · cited by 351IsComplBoundedOrder · cited by 270BoundedOrderDistribLattice · cited by 150DistribLatticeIsCompl.symm · cited by 80IsCompl.symmIsCompl.sup_inf · cited by 2IsCompl.sup_infIsCompl.inf_supCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.