Theorems · Definition · group theory
Units.copy
{α : Type u} → [inst : Monoid α] → (u : αˣ) → (val : α) → val = ↑u → (inv : α) → inv = ↑u⁻¹ → αˣCopy a unit, adjusting definition equalities.
- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by9
Results whose statement or proof uses this declaration.
- IsUnit.unitproof · cited by 252
- Units.addproof · cited by 5
- Units.ofNearbyproof · cited by 4
- Subgroup.unit_of_mem_ofUnitsproof · cited by 4
- analyticAt_inverseproof · cited by 3
- Units.copy_eqstatement · cited by 1
- Units.val_copystatement and proof · cited by 1
- Units.val_inv_copystatement and proof · cited by 1
- Units.copy.congr_simpstatement and proof · cited by 1