Theorems · Inductive type · group theory
DivisionCommMonoid
Type u → Type u
Commutative DivisionMonoid.
This is the immediate common ancestor of CommGroup and CommGroupWithZero.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 80 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 by95
Results whose statement or proof uses this declaration.
- div_eq_inv_mulstatement and proof · cited by 146
- div_powstatement and proof · cited by 66
- div_divstatement and proof · cited by 56
- div_mul_eq_mul_divstatement and proof · cited by 51
- mul_invstatement and proof · cited by 50
- inv_mul_eq_divstatement and proof · cited by 26
- div_mul_div_commstatement and proof · cited by 24
- mul_div_right_commstatement and proof · cited by 20
- div_right_commstatement and proof · cited by 19
- mul_comm_divstatement and proof · cited by 14
- Finset.prod_inv_distribstatement and proof · cited by 13
- mul_zpowstatement and proof · cited by 12