Theorems · Theorem · group theory
inv_div_inv
∀ {α : Type u_1} [inst : DivisionCommMonoid α] (a b : α), a⁻¹ / b⁻¹ = b / a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- DivisionCommMonoid
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.
- mul_commproof · cited by 2,262
- div_eq_mul_invproof · cited by 715
- inv_invproof · cited by 494
- DivisionCommMonoidstatement and proof · cited by 80
Cited by2
Results whose statement or proof uses this declaration.
- NormedSpace.expSeries_radius_eq_topproof · cited by 27
- FractionalIdeal.dual_div_dualproof · cited by 0