Theorems · Theorem · order theory
LinearOrderedAddCommGroupWithTop.neg_add_cancel_left_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommGroupWithTop α] {a : α}, a ≠ ⊤ → ∀ (b : α), -a + (a + b) = b- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
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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
- zero_addproof · cited by 2,366
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- LinearOrderedAddCommGroupWithTop.neg_add_cancel_of_ne_topproof · cited by 2
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