Theorems · Inductive type · group theory
RightCancelMonoid
Type u → Type u
A monoid in which multiplication is right-cancellative.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by28
Results whose statement or proof uses this declaration.
- RightCancelMonoid.pow_eq_pow_iff_modEqstatement and proof · cited by 3
- RightCancelMonoid.eq_one_of_mul_rightstatement and proof · cited by 2
- RightCancelMonoid.casesOnstatement and proof · cited by 1
- RightCancelMonoid.eq_one_of_mul_leftstatement and proof · cited by 1
- RightCancelMonoid.extstatement and proof · cited by 1
- RightCancelMonoid.finite_powersstatement and proof · cited by 1
- RightCancelMonoid.infinite_powersstatement and proof · cited by 1
- RightCancelMonoid.injective_pow_iff_not_isOfFinOrderstatement and proof · cited by 1
- RightCancelMonoid.toMonoid_injectivestatement and proof · cited by 1
- CancelMonoid.toRightCancelMonoid_injectivestatement · cited by 0
- Function.Injective.cancelMonoidproof · cited by 0
- FunLike.rightCancelMonoidstatement and proof · cited by 0