Theorems · Theorem · order theory
IsCompl.Antitone
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : BoundedOrder α] {x y x' y' : α},
IsCompl x y → IsCompl x' y' → x ≤ x' → y' ≤ y- Defined in
- Mathlib.Order.Disjoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- DistribLatticeBoundedOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsComplstatement and proof · cited by 351
- BoundedOrderstatement and proof · cited by 270
- DistribLatticestatement and proof · cited by 150
- IsCompl.symmproof · cited by 80
- IsCompl.codisjointproof · cited by 32
- Codisjoint.mono_rightproof · cited by 8
- IsCompl.right_le_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsCompl.right_uniqueproof · cited by 1