Theorems · Theorem · order theory
sub_sup
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] [AddLeftMono α] [AddRightMono α] (a b c : α),
c - a ⊔ b = (c - a) ⊓ (c - b)- Defined in
- Mathlib.Algebra.Order.Group.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Latticestatement and proof · cited by 916
- AddLeftMonostatement and proof · cited by 687
- AddRightMonostatement and proof · cited by 367
- OrderIso.map_supproof · cited by 37
- OrderIso.subLeftproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- inf_eq_sub_posPart_subproof · cited by 0