Theorems · Theorem · group theory
mul_inv_cancel_right
∀ {G : Type u_1} [inst : Group G] (a b : G), a * b * b⁻¹ = a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- mul_assocproof · cited by 1,667
- mul_inv_cancelproof · cited by 128
Cited by53
Results whose statement or proof uses this declaration.
- Set.image_mul_rightproof · cited by 24
- mul_inv_eq_iff_eq_mulproof · cited by 13
- eq_mul_inv_iff_mul_eqproof · cited by 11
- mul_mem_cancel_rightproof · cited by 11
- mul_div_cancel_rightproof · cited by 10
- DoubleCoset.iUnion_quotToDoubleCosetproof · cited by 4
- leftCoset_eq_iffproof · cited by 4
- inf_mul_supproof · cited by 3
- HNNExtension.equiv_eq_conjproof · cited by 3
- Subgroup.isComplement_iff_existsUnique_mul_inv_memproof · cited by 3
- zpow_sub_oneproof · cited by 3
- mapClusterPt_self_zpow_atTop_powproof · cited by 3