Theorems · Theorem · order theory
iSup_fin_three
∀ {α : Type u_5} [inst : CompleteLattice α] {f : Fin 3 → α}, ⨆ i, f i = f 0 ⊔ f 1 ⊔ f 2- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Finset.univproof · cited by 3,473
- iSupstatement and proof · cited by 2,415
- CompleteLatticestatement and proof · cited by 1,048
- Finset.supproof · cited by 530
- iSup_congr_Propproof · cited by 247
- iSup_posproof · cited by 61
- Finset.sup_singletonproof · cited by 42
- sup_assocproof · cited by 37
- Finset.sup_insertproof · cited by 35
- Finset.sup_eq_iSupproof · cited by 30
Cited by3
Results whose statement or proof uses this declaration.
- LieAlgebra.Basis.iSup_cartan_borelLower_borelUpper_eq_topproof · cited by 4
- LieAlgebra.Basis.root_mem_or_mem_negproof · cited by 0
- iSupIndep_fin_threeproof · cited by 0