Theorems · Theorem · order theory
sup_div
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulRightMono α] (a b c : α), (a ⊔ b) / c = a / c ⊔ b / c- Defined in
- Mathlib.Algebra.Order.Group.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- LatticeGroupMulRightMono
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.
- Groupstatement and proof · cited by 6,238
- Latticestatement and proof · cited by 916
- MulRightMonostatement and proof · cited by 263
- OrderIso.map_supproof · cited by 37
- OrderIso.divRightproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- sup_div_inf_eq_mabs_divproof · cited by 3