Theorems · Theorem · order theory
Set.Iic.isCompl_inf_inf_of_isCompl_of_le
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : BoundedOrder α] [IsModularLattice α] {a b c : α},
IsCompl b c → b ≤ a → IsCompl ⟨a ⊓ b, ⋯⟩ ⟨a ⊓ c, ⋯⟩- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Bot.botproof · cited by 4,720
- Disjointproof · cited by 2,201
- Set.Iicstatement · cited by 1,111
- Latticestatement and proof · cited by 916
- IsComplstatement and proof · cited by 351
- inf_le_leftstatement and proof · cited by 286
- BoundedOrderstatement and proof · cited by 270
- Codisjointproof · cited by 197
- inf_of_le_leftproof · cited by 186
- inf_commproof · cited by 139
- inf_of_le_rightproof · cited by 128
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.isCompl_comap_subtype_of_isCompl_of_leproof · cited by 0