Theorems · Theorem · group theory
Group.isUnit
∀ {α : Type u} [inst : Group α] (a : α), IsUnit a- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 18 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
- IsUnitstatement · cited by 1,602
- mul_inv_cancelproof · cited by 128
- inv_mul_cancelproof · cited by 107
Cited by18
Results whose statement or proof uses this declaration.
- AddChar.val_isUnitproof · cited by 2
- LinearIndependent.group_smulproof · cited by 2
- Group.preimage_smul_setₛₗproof · cited by 1
- Submonoid.isLocalizationMap_iff_bijectiveproof · cited by 1
- Unitary.mul_inv_mem_iffproof · cited by 1
- MulChar.mulCharEquiv_symm_apply_applyproof · cited by 1
- Finset.isUnit_singletonproof · cited by 1
- Set.isUnit_singletonproof · cited by 0
- Filter.isUnit_pureproof · cited by 0
- IsCompactOperator.smul_iffproof · cited by 0
- Group.preimage_smul_setproof · cited by 0
- Submonoid.isLocalizationMap_of_groupproof · cited by 0