Theorems · Theorem · order theory
inv_sup
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulLeftMono α] [MulRightMono α] (a b : α), (a ⊔ b)⁻¹ = a⁻¹ ⊓ b⁻¹- Defined in
- Mathlib.Algebra.Order.Group.Lattice
- Cited by
- 3 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.
- Groupstatement and proof · cited by 6,238
- Latticestatement and proof · cited by 916
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- OrderIso.map_supproof · cited by 37
- OrderIso.invproof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- leOnePart_eq_inv_inf_oneproof · cited by 1
- Set.inv_uIccproof · cited by 0
- leOnePart_maxproof · cited by 0