Theorems · Theorem · order theory
right_lt_sup
∀ {α : Type u} [inst : SemilatticeSup α] {a b : α}, b < a ⊔ b ↔ ¬a ≤ b- Defined in
- Mathlib.Order.Lattice
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- SemilatticeSup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeSupstatement and proof · cited by 785
- le_sup_rightproof · cited by 242
- LE.le.lt_iff_neproof · cited by 34
- right_eq_supproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Finset.exists_sup_geproof · cited by 1
- Ne.lt_sup_or_lt_supproof · cited by 1
- posPart_eq_of_posPart_posproof · cited by 1
- left_or_right_lt_supproof · cited by 0
- Set.ssubset_union_right_iffproof · cited by 0
- oneLePart_of_one_lt_oneLePartproof · cited by 0