Theorems · Theorem · order theory
LinearOrderedAddCommMonoidWithTop.isAddLeftRegular_of_ne_top
∀ {α : Type u_3} [self : LinearOrderedAddCommMonoidWithTop α] ⦃x : α⦄, x ≠ ⊤ → IsAddLeftRegular x- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- IsAddLeftRegularstatement · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- IsAddRegular.of_ne_topproof · cited by 3