Theorems · Theorem · ring theory
MulOpposite.op_inv
∀ {α : Type u_1} [inst : Inv α] (x : α), MulOpposite.op x⁻¹ = (MulOpposite.op x)⁻¹- Defined in
- Mathlib.Algebra.Opposites
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Inv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement · cited by 1,135
- MulOpposite.opstatement · cited by 520
Cited by7
Results whose statement or proof uses this declaration.
- star_invproof · cited by 6
- star_inv₀proof · cited by 6
- star_div₀proof · cited by 2
- Finset.image_op_invproof · cited by 1
- cauchy_davenport_minOrder_mulproof · cited by 1
- Finset.smul_inv_mul_eq_inv_mul_opSMulproof · cited by 1
- Set.image_op_invproof · cited by 0