Theorems · Theorem · order theory
add_right_inj_of_ne_top
∀ {α : Type u_2} [inst : LinearOrderedAddCommMonoidWithTop α] {a b c : α}, a ≠ ⊤ → (a + b = a + c ↔ b = c)- Defined in
- Mathlib.Algebra.Order.AddGroupWithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
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Cites3
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
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- add_right_injective_of_ne_topproof · cited by 3
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