Theorems · Theorem · order theory
sup_sup_distrib_left
∀ {α : Type u} [inst : SemilatticeSup α] (a b c : α), a ⊔ (b ⊔ c) = a ⊔ b ⊔ (a ⊔ c)- Defined in
- Mathlib.Order.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- 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
- sup_idemproof · cited by 29
- sup_sup_sup_commproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- Finset.union_union_distrib_leftproof · cited by 0
- Set.union_union_distrib_leftproof · cited by 0