Theorems · Theorem · order theory
oneLePart_lt
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Group α] {a b : α}, a⁺ᵐ < b ↔ a < b ∧ 1 < b- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- LinearOrderGroup
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.
- LinearOrderstatement and proof · cited by 8,572
- Groupstatement and proof · cited by 6,238
- OneLePart.oneLePartstatement · cited by 40
- sup_lt_iffproof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.