Theorems · Theorem · order theory
lt_sup_of_lt_right
∀ {α : Type u} [inst : SemilatticeSup α] {a b c : α}, c < b → c < a ⊔ b- Defined in
- Mathlib.Order.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SemilatticeSup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeSupstatement and proof · cited by 785
- LT.lt.trans_leproof · cited by 678
- le_sup_rightproof · cited by 242
Cited by1
Results whose statement or proof uses this declaration.
- Set.bounded_lt_inter_not_ltproof · cited by 3