Theorems · Theorem · ring theory
invOf_inj
∀ {α : Type u} [inst : Monoid α] {a b : α} [inst_1 : Invertible a] [inst_2 : Invertible b], ⅟a = ⅟b ↔ a = b- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- MonoidInvertibleInvertible
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
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement and proof · cited by 268
- invertible_uniqueproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- IsSelfAdjoint.invOf_iffproof · cited by 1