Mathlib Map

Theorems · Definition · group theory

AddUnits.copy

{α : Type u} → [inst : AddMonoid α] → (u : AddUnits α) → (val : α) → val = ↑u → (neg : α) → neg = ↑(-u) → AddUnits α

Copy an AddUnit, adjusting definitional equalities.

Defined in
Mathlib.Algebra.Group.Units.Defs
Cited by
3 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
AddMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsAddUnit.addUnit · cited by 30IsAddUnit.addUnitAddSubgroup.addUnit_of_mem_ofAddUnits · cited by 4AddSubgroup.addUnit_of_me…AddUnits.val_neg_copy · cited by 0AddUnits.val_neg_copyAddUnits.val_copy · cited by 0AddUnits.val_copyAddUnits.copy_eq · cited by 0AddUnits.copy_eqAddMonoid · cited by 2864AddMonoidAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valAddUnits.copyCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.