Theorems · Theorem · group theory
isRightCancelMul_iff
∀ (G : Type u) [inst : Mul G], IsRightCancelMul G ↔ ∀ (a : G), IsRightRegular a
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Mul
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.
- IsRightRegularstatement and proof · cited by 93
- IsRightCancelMulstatement and proof · cited by 43
- IsRightCancelMul.casesOnproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsRightRegular.allproof · cited by 3
- isCancelMul_iff_forall_isRegularproof · cited by 1