Theorems · Theorem · order theory
Codisjoint.codisjoint_inf_right_of_codisjoint_inf_left
∀ {α : Type u_1} {a b c : α} [inst : Lattice α] [inst_1 : OrderTop α] [IsModularLattice α],
Codisjoint a b → Codisjoint (a ⊓ b) c → Codisjoint a (b ⊓ c)- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 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_reflproof · cited by 2,061
- Latticestatement and proof · cited by 916
- OrderTopstatement and proof · cited by 493
- le_sup_leftproof · cited by 265
- inf_le_rightproof · cited by 238
- Codisjointstatement and proof · cited by 197
- sup_leproof · cited by 159
- LE.le.trans'proof · cited by 140
- inf_commproof · cited by 139
- IsModularLatticestatement and proof · cited by 86
- top_inf_eqproof · cited by 30
- Codisjoint.eq_topproof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- Codisjoint.codisjoint_inf_left_of_codisjoint_inf_rightproof · cited by 2
- Codisjoint.isCompl_inf_right_of_isCompl_inf_leftproof · cited by 0