Theorems · Theorem · order theory
posPart_mono
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : SubNegMonoid α], Monotone fun x => x⁺- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- LatticeSubNegMonoid
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.
- Monotonestatement · cited by 1,397
- Latticestatement and proof · cited by 916
- PosPart.posPartstatement · cited by 113
- SubNegMonoidstatement and proof · cited by 79
- sup_le_sup_rightproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- le_iff_posPart_negPartproof · cited by 1