Theorems · Theorem · order theory
sup_assoc
∀ {α : Type u} [inst : SemilatticeSup α] (a b c : α), a ⊔ b ⊔ c = a ⊔ (b ⊔ c)- Defined in
- Mathlib.Order.Lattice
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- SemilatticeSup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeSupstatement and proof · cited by 785
- eq_of_forall_ge_iffproof · cited by 96
Cited by37
Results whose statement or proof uses this declaration.
- abs_nonnegproof · cited by 168
- sup_sup_sup_commproof · cited by 12
- one_le_mabsproof · cited by 11
- sup_left_commproof · cited by 6
- Finset.union_assocproof · cited by 6
- MvPolynomial.cardinalMk_eq_max_liftproof · cited by 5
- sup_right_commproof · cited by 4
- sdiff_sdiff_rightproof · cited by 4
- UV.compress_idemproof · cited by 3
- posPart_add_negPartproof · cited by 3
- sdiff_sdiffproof · cited by 3
- iSup_fin_threeproof · cited by 3