Theorems · Theorem · group theory
Ring.inverse_eq_inv
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] (a : G₀), Ring.inverse a = a⁻¹- Cited by
- 4 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- eq_or_neproof · cited by 1,117
- GroupWithZerostatement and proof · cited by 691
- inv_zeroproof · cited by 184
- Units.mk0proof · cited by 181
- Ring.inversestatement · cited by 160
- Ring.inverse_non_unitproof · cited by 26
- Ring.inverse_unitproof · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- Ring.inverse_eq_inv'proof · cited by 15
- MulChar.inv_apply'proof · cited by 4
- MulChar.inv_apply_eq_inv'proof · cited by 1
- MeasureTheory.hasDerivAt_resolventTransformproof · cited by 1