Theorems · Theorem · group theory
AddGroup.isAddUnit
∀ {α : Type u} [inst : AddGroup α] (a : α), IsAddUnit a- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- neg_add_cancelproof · cited by 256
- IsAddUnitstatement · cited by 215
- add_neg_cancelproof · cited by 213
Cited by11
Results whose statement or proof uses this declaration.
- eq_on_negproof · cited by 1
- AddSubmonoid.isLocalizationMap_iff_bijectiveproof · cited by 1
- AddSubmonoid.isLocalizationMap_of_addGroupproof · cited by 1
- Finset.isAddUnit_singletonproof · cited by 1
- AddGroup.preimage_vadd_setₛₗproof · cited by 1
- Filter.isAddUnit_pureproof · cited by 0
- Set.isAddUnit_iff_singletonproof · cited by 0
- Set.isAddUnit_singletonproof · cited by 0
- vadd_uniformityproof · cited by 0
- AddGroup.preimage_vadd_setproof · cited by 0
- Filter.vadd_tendsto_vadd_iffproof · cited by 0