Theorems · Theorem · order theory
disjoint_sup_right_of_disjoint_sup_right
∀ {α : Type u_1} {a b c : α} [inst : Lattice α] [inst_1 : OrderBot α] [IsModularLattice α],
Disjoint a (b ⊔ c) → Disjoint b (c ⊔ a) → Disjoint c (a ⊔ b)- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- le_sup_rightproof · cited by 242
- sup_commproof · cited by 165
- IsModularLatticestatement and proof · cited by 86
- Disjoint.mono_rightproof · cited by 64
- disjoint_commproof · cited by 49
- Disjoint.disjoint_sup_left_of_disjoint_sup_rightproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- iSupIndep.disjoint_biSup_biSup'proof · cited by 1