refactor(algebra/group/basic): rework lemmas on inv and neg (#17483)
This PR adds the following lemma (and its additive equivalent).
```lean
theorem inv_eq_iff_eq_inv : a⁻¹ = b ↔ a = b⁻¹
```
and removes `eq_inv_of_eq_inv`, `eq_inv_iff_eq_inv` and `inv_eq_iff_inv_eq` (and their additive equivalents).