Theorems · Theorem · group theory
div_self
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a : G₀}, a ≠ 0 → a / a = 1- Cited by
- 237 results in Mathlib
- Foundations
- Depth 25 from the axioms, rests on 183 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GroupWithZerostatement and proof · cited by 691
- Ne.isUnitproof · cited by 99
- IsUnit.div_selfproof · cited by 3
Cited by237
Results whose statement or proof uses this declaration.
- Complex.exp_zeroproof · cited by 43
- NormedSpace.expSeries_radius_eq_topproof · cited by 27
- PowerSeries.constantCoeff_expproof · cited by 9
- EuclideanGeometry.inversion_inversionproof · cited by 5
- ContinuousLinearMap.norm_idproof · cited by 5
- Real.two_le_piproof · cited by 5
- NNReal.inner_le_Lp_mul_Lqproof · cited by 5
- InnerProductGeometry.angle_selfproof · cited by 5
- div_self_le_oneproof · cited by 5
- Complex.tan_addproof · cited by 5
- bernoulli'_twoproof · cited by 5
- Complex.norm_cpow_of_impproof · cited by 4
Showing the 200 most cited of 237.