Theorems · Theorem · order theory
IsModularLattice.sup_inf_sup_assoc
∀ {α : Type u_1} [inst : Lattice α] [IsModularLattice α] {x y z : α}, (x ⊔ z) ⊓ (y ⊔ z) = (x ⊔ z) ⊓ y ⊔ z- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- LatticeIsModularLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- le_sup_rightproof · cited by 242
- IsModularLatticestatement and proof · cited by 86
- inf_sup_assoc_of_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Disjoint.disjoint_sup_right_of_disjoint_sup_leftproof · cited by 3