Theorems · Theorem · group theory
Units.eq_inv_of_mul_eq_one_right
∀ {α : Type u} [inst : Monoid α] {u : αˣ} {a : α}, a * ↑u = 1 → a = ↑u⁻¹- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- Monoid
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
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Units.inv_eq_of_mul_eq_one_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- normalize_eq_oneproof · cited by 10
- Units.mul_inv_eq_oneproof · cited by 2