Theorems · Theorem · order theory
negPart_anti
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] [AddLeftMono α] [AddRightMono α], Antitone negPart- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Antitonestatement · cited by 563
- AddRightMonostatement and proof · cited by 367
- NegPart.negPartstatement · cited by 107
- neg_le_neg_iffproof · cited by 57
- sup_le_sup_rightproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- le_iff_posPart_negPartproof · cited by 1