Theorems · Theorem · group theory
AddUnits.ext
∀ {α : Type u} [inst : AddMonoid α] {u v : AddUnits α}, ↑u = ↑v → u = v- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddUnits.val_injectiveproof · cited by 5
Cited by25
Results whose statement or proof uses this declaration.
- AddUnits.ext_iffproof · cited by 4
- AddSemiconjBy.addUnits_of_valproof · cited by 2
- AddSubgroup.mem_of_mem_val_ofAddUnitsproof · cited by 1
- AddUnits.map_injectiveproof · cited by 1
- AddUnits.embedProduct_injectiveproof · cited by 1
- AddCon.map_of_add_left_rel_zeroproof · cited by 1
- AddUnits.mk_valproof · cited by 1
- AddSubgroup.addUnit_eq_addUnit_of_mem_ofAddUnitsproof · cited by 1
- IsAddUnit.addUnit_addproof · cited by 0
- IsAddUnit.addUnit_negproof · cited by 0
- AddSubgroup.addUnits_ofAddUnits_eqproof · cited by 0
- IsAddUnit.addUnit_nsmulproof · cited by 0