Theorems · Theorem · order theory
WithTop.add_left_cancel
∀ {α : Type u} [inst : Add α] {x y z : WithTop α} [IsLeftCancelAdd α], x ≠ ⊤ → x + y = x + z → y = z- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddIsLeftCancelAdd
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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
- WithTopstatement and proof · cited by 3,754
- IsLeftCancelAddstatement and proof · cited by 72
- WithTop.add_left_injproof · cited by 2
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