Theorems · Theorem · order theory
one_le_oneLePart
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : DivInvMonoid α] (a : α), 1 ≤ a⁺ᵐ- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- LatticeDivInvMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- le_sup_rightproof · cited by 242
- DivInvMonoidstatement and proof · cited by 103
- OneLePart.oneLePartstatement · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- one_lt_oneLePart_iffproof · cited by 0