Theorems · Theorem · order theory
inf_lt_right
∀ {α : Type u} [inst : SemilatticeInf α] {a b : α}, a ⊓ b < b ↔ ¬b ≤ a- Defined in
- Mathlib.Order.Lattice
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- SemilatticeInf
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.
- SemilatticeInfstatement and proof · cited by 634
- inf_le_rightproof · cited by 238
- LE.le.lt_iff_ne'proof · cited by 16
- right_eq_infproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Finset.exists_inf_leproof · cited by 3
- Ne.inf_lt_or_inf_ltproof · cited by 1
- inf_lt_left_or_rightproof · cited by 0
- Set.inter_ssubset_right_iffproof · cited by 0