Theorems · Inductive type · group theory
LeftCancelMonoid
Type u → Type u
A monoid in which multiplication is left-cancellative.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 28 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 by45
Results whose statement or proof uses this declaration.
- orderOf_posstatement and proof · cited by 15
- isOfFinOrder_of_finitestatement and proof · cited by 14
- pow_eq_pow_iff_modEqstatement and proof · cited by 5
- orderOf_powstatement and proof · cited by 5
- LeftCancelMonoid.eq_one_of_mul_rightstatement and proof · cited by 3
- LeftCancelMonoid.eq_one_of_mul_leftstatement and proof · cited by 2
- LeftCancelMonoid.extstatement and proof · cited by 2
- Monoid.ExponentExists.of_finitestatement and proof · cited by 2
- Monoid.exponent_ne_zero_of_finitestatement and proof · cited by 2
- LeftCancelMonoid.casesOnstatement and proof · cited by 1
- LeftCancelMonoid.mul_eq_onestatement and proof · cited by 1
- LeftCancelMonoid.mul_ne_onestatement and proof · cited by 1