Theorems · Theorem · group theory
isDedekindFiniteMonoid_iff
∀ (M : Type u_2) [inst : MulOne M], IsDedekindFiniteMonoid M ↔ ∀ {a b : M}, a * b = 1 → b * a = 1- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- MulOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOnestatement and proof · cited by 65
- IsDedekindFiniteMonoidstatement and proof · cited by 23
- IsDedekindFiniteMonoid.casesOnproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsDedekindFiniteMonoid.iff_eq_of_mul_left_eq_oneproof · cited by 0
- IsDedekindFiniteMonoid.iff_eq_of_mul_right_eq_oneproof · cited by 0