Theorems · Theorem · group theory
left_ne_add
∀ {M : Type u_4} [inst : AddMonoid M] [IsLeftCancelAdd M] {a b : M}, a ≠ a + b ↔ b ≠ 0- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- AddMonoidIsLeftCancelAdd
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- Iff.notproof · cited by 489
- IsLeftCancelAddstatement and proof · cited by 72
- left_eq_addproof · cited by 15
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