Theorems · Theorem · order theory
Disjoint.disjoint_sup_left_of_disjoint_sup_right
∀ {α : Type u_1} {a b c : α} [inst : Lattice α] [inst_1 : OrderBot α] [IsModularLattice α],
Disjoint b c → Disjoint a (b ⊔ c) → Disjoint (a ⊔ b) c- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Disjointstatement and proof · cited by 2,201
- OrderBotstatement and proof · cited by 1,055
- Latticestatement and proof · cited by 916
- sup_commproof · cited by 165
- Disjoint.symmproof · cited by 125
- IsModularLatticestatement and proof · cited by 86
- disjoint_commproof · cited by 49
- Disjoint.disjoint_sup_right_of_disjoint_sup_leftproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Finset.SupIndep.biUnionproof · cited by 4
- Disjoint.isCompl_sup_left_of_isCompl_sup_rightproof · cited by 1
- disjoint_sup_right_of_disjoint_sup_rightproof · cited by 1