Theorems · Theorem · group theory
Units.val_mkOfMulEqOne
∀ {α : Type u} [inst : Monoid α] [inst_1 : IsDedekindFiniteMonoid α] {a b : α} (h : a * b = 1),
↑(Units.mkOfMulEqOne a b h) = a- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- MonoidIsDedekindFiniteMonoid
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.
- Monoidstatement and proof · cited by 3,887
- Units.valstatement · cited by 1,966
- IsDedekindFiniteMonoidstatement and proof · cited by 23
- Units.mkOfMulEqOnestatement · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- exists_associated_pow_of_mul_eq_powproof · cited by 3