Theorems · Theorem · group theory
mul_right_cancel_iff
∀ {G : Type u_1} [inst : Mul G] [IsRightCancelMul G] {a b c : G}, b * a = c * a ↔ b = c- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- MulIsRightCancelMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsRightCancelMulstatement and proof · cited by 43
- mul_right_cancelproof · cited by 14
Cited by6
Results whose statement or proof uses this declaration.
- mul_eq_rightproof · cited by 5
- RightCancelMonoid.pow_eq_pow_iff_modEqproof · cited by 3
- RightCancelMonoid.eq_one_of_mul_rightproof · cited by 2
- RightCancelMonoid.finite_powersproof · cited by 1
- SemiconjBy.conj_iffproof · cited by 1
- UniqueProds.toTwoUniqueProds_of_groupproof · cited by 0