Theorems · Theorem · group theory
val_toAddUnits_apply
∀ {G : Type u_5} [inst : AddGroup G] (x : G), ↑(toAddUnits x) = x- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroup
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.
- DFunLike.coestatement and proof · cited by 62,936
- AddGroupstatement and proof · cited by 4,410
- AddEquivstatement · cited by 1,087
- AddUnitsstatement · cited by 325
- AddUnits.valstatement and proof · cited by 248
- toAddUnitsstatement and proof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- HasCompactSupport.convolutionExistsAtproof · cited by 2
- AddSubgroup.mem_ofAddUnits_iff_toAddUnits_memproof · cited by 1
- AddSubgroup.mem_iff_toAddUnits_mem_addUnitsproof · cited by 0
- IsTopologicalAddGroup.isOpenMap_iff_nhds_zeroproof · cited by 0