Theorems · Theorem · order theory
LinearOrderedAddCommGroupWithTop.neg_add_cancel_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommGroupWithTop α] {a : α}, a ≠ ⊤ → -a + a = 0- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
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.
- Top.topstatement and proof · cited by 9,680
- add_commproof · cited by 1,535
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- LinearOrderedAddCommGroupWithTop.add_neg_cancel_of_ne_topproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- LinearOrderedAddCommGroupWithTop.neg_add_cancel_left_of_ne_topproof · cited by 0
- LinearOrderedAddCommGroupWithTop.neg_add_cancel_right_of_ne_topproof · cited by 0