Theorems · Theorem · ring theory
invOf_eq_right_inv
∀ {α : Type u} [inst : Monoid α] {a b : α} [inst_1 : Invertible a], a * b = 1 → ⅟a = b- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 10 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
- invOf_mul_selfproof · cited by 20
- left_inv_eq_right_invproof · cited by 19
Cited by10
Results whose statement or proof uses this declaration.
- invOf_eq_invproof · cited by 42
- invOf_unitsproof · cited by 7
- invOf_one'proof · cited by 3
- invertible_uniqueproof · cited by 3
- invOf_negproof · cited by 2
- invOf_invOfproof · cited by 1
- invOf_mulproof · cited by 0
- invOf_divproof · cited by 0
- invOf_eq_group_invproof · cited by 0
- invOf_eq_iff_rightproof · cited by 0