Theorems · Theorem · group theory
right_ne_mul
∀ {M : Type u_4} [inst : Monoid M] [IsRightCancelMul M] {a b : M}, b ≠ a * b ↔ a ≠ 1- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- MonoidIsRightCancelMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- IsRightCancelMulstatement and proof · cited by 43
- right_eq_mulproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.