Theorems · Theorem · group theory
inv_inv
∀ {G : Type u_1} [inst : InvolutiveInv G] (a : G), a⁻¹⁻¹ = a- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 494 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
- Assumes
- InvolutiveInv
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.
- InvolutiveInvstatement and proof · cited by 102
- InvolutiveInv.inv_invproof · cited by 1
Cited by494
Results whose statement or proof uses this declaration.
- zpow_negproof · cited by 198
- inv_posproof · cited by 124
- inv_divproof · cited by 92
- div_inv_eq_mulproof · cited by 53
- zpow_mulproof · cited by 27
- mul_inv_eq_oneproof · cited by 20
- tendsto_pow_atTop_nhds_zero_of_lt_oneproof · cited by 18
- norm_mul_le'proof · cited by 15
- mabs_invproof · cited by 13
- MeasureTheory.Measure.addHaar_smulproof · cited by 13
- div_div_eq_mul_divproof · cited by 12
- inv_involutiveproof · cited by 12
Showing the 200 most cited of 494.