Theorems · Definition · group theory
AddUnits.coeHom
(M : Type u) → [inst : AddMonoid M] → AddUnits M →+ M
Coercion AddUnits M → M as an AddMonoid homomorphism.
- Defined in
- Mathlib.Algebra.Group.Units.Hom
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddUnitsstatement · cited by 325
- AddUnits.valproof · cited by 248
- AddUnits.val_addproof · cited by 5
- AddUnits.val_zeroproof · cited by 3
Cited by18
Results whose statement or proof uses this declaration.
- AddSubmonoid.addUnitsproof · cited by 32
- AddSubgroup.ofAddUnitsproof · cited by 30
- AddSubmonoid.addUnitsEquivAddUnitsTypeproof · cited by 4
- AddSubgroup.mem_of_mem_val_ofAddUnitsproof · cited by 1
- AddUnits.coeHom_injectivestatement · cited by 1
- AddSubgroup.isAddUnit_of_mem_ofAddUnitsproof · cited by 1
- AddSubmonoid.val_addUnitsEquivAddUnitsType_apply_coestatement · cited by 0
- AddSubgroup.addUnits_ofAddUnits_eqproof · cited by 0
- AddSubmonoid.val_neg_addUnitsEquivAddUnitsType_apply_coestatement · cited by 0
- map_addUnits_negproof · cited by 0
- AddUnits.coeHom_applystatement · cited by 0
- AddSubgroup.ofAddUnits_monoproof · cited by 0