Theorems · Theorem · order theory
negPart_min
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] [AddLeftMono α] [AddRightMono α] (a b : α), (a ⊓ b)⁻ = a⁻ ⊔ b⁻- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- le_sup_rightproof · cited by 242
- sup_of_le_leftproof · cited by 218
- sup_of_le_rightproof · cited by 143
- NegPart.negPartstatement · cited by 107
- sup_sup_distrib_rightproof · cited by 6
- neg_infproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeromorphicOn.negPart_divisor_add_le_maxproof · cited by 1