Theorems · Theorem · order theory
Disjoint.disjoint_sup_right_of_disjoint_sup_left
∀ {α : Type u_1} {a b c : α} [inst : Lattice α] [inst_1 : OrderBot α] [IsModularLattice α],
Disjoint a b → Disjoint (a ⊔ b) c → Disjoint a (b ⊔ c)- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Disjointstatement and proof · cited by 2,201
- le_reflproof · cited by 2,061
- OrderBotstatement and proof · cited by 1,055
- Latticestatement and proof · cited by 916
- inf_le_leftproof · cited by 286
- le_sup_rightproof · cited by 242
- sup_commproof · cited by 165
- le_infproof · cited by 107
- IsModularLatticestatement and proof · cited by 86
- disjoint_iff_inf_leproof · cited by 64
- Disjoint.eq_botproof · cited by 52
Cited by3
Results whose statement or proof uses this declaration.
- Disjoint.disjoint_sup_left_of_disjoint_sup_rightproof · cited by 3
- exists_sSupIndep_disjoint_sSup_atomsproof · cited by 2
- Disjoint.isCompl_sup_right_of_isCompl_sup_leftproof · cited by 0