Theorems · Theorem · order theory
LinearOrderedAddCommGroupWithTop.sub_self_nonneg
∀ {α : Type u_2} [inst : LinearOrderedAddCommGroupWithTop α] {a : α}, 0 ≤ a - a- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- le_reflproof · cited by 2,061
- eq_or_neproof · cited by 1,117
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- LinearOrderedAddCommGroupWithTop.sub_self_eq_zero_of_ne_topproof · cited by 3
- LinearOrderedAddCommGroupWithTop.sub_topproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.