Theorems · Theorem · ring theory
invertible_unique
∀ {α : Type u} [inst : Monoid α] (a b : α) [inst_1 : Invertible a] [inst_2 : Invertible b], a = b → ⅟a = ⅟b- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- MonoidInvertibleInvertible
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement and proof · cited by 268
- mul_invOf_selfproof · cited by 28
- invOf_eq_right_invproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Invertible.congrproof · cited by 18
- invOf_injproof · cited by 1
- invOf_powproof · cited by 0