Theorems · Theorem · order theory
inf_sup_le_assoc_of_le
∀ {α : Type u_1} [inst : Lattice α] [IsModularLattice α] {x z : α} (y : α), z ≤ x → x ⊓ (y ⊔ z) ≤ x ⊓ y ⊔ z- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- LatticeIsModularLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- sup_commproof · cited by 165
- inf_commproof · cited by 139
- IsModularLatticestatement and proof · cited by 86
- sup_inf_le_assoc_of_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- inf_sup_assoc_of_leproof · cited by 3