Theorems · Theorem · ring theory
invOf_eq_left_inv
∀ {α : Type u} [inst : Monoid α] {a b : α} [inst_1 : Invertible a], b * a = 1 → ⅟a = b- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- MonoidInvertible
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 · cited by 268
- mul_invOf_selfproof · cited by 28
- left_inv_eq_right_invproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.inv_eq_left_invproof · cited by 9
- invOf_eq_iff_leftproof · cited by 0