Theorems · Theorem · group theory
mul_ne_left
∀ {M : Type u_4} [inst : Monoid M] [IsLeftCancelMul M] {a b : M}, a * b ≠ a ↔ b ≠ 1- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- MonoidIsLeftCancelMul
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Iff.notproof · cited by 489
- IsLeftCancelMulstatement and proof · cited by 51
- mul_eq_leftproof · cited by 7
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