Theorems · Theorem · order theory
sup_inf_le
∀ {α : Type u} [inst : Lattice α] {a b c : α}, a ⊔ b ⊓ c ≤ (a ⊔ b) ⊓ (a ⊔ c)- Defined in
- Mathlib.Order.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Lattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- le_infproof · cited by 107
- sup_le_sup_leftproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- sup_inf_leftproof · cited by 22