Theorems · Theorem · group theory
Ring.inverse_pow
∀ {M₀ : Type u_1} [inst : MonoidWithZero M₀] (r : M₀) (n : ℕ), Ring.inverse r ^ n = Ring.inverse (r ^ n)- Defined in
- Mathlib.Algebra.GroupWithZero.Commute
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MonoidWithZero
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.
- MonoidWithZerostatement and proof · cited by 456
- Ring.inversestatement · cited by 160
Cited by1
Results whose statement or proof uses this declaration.
- Ring.inverse_pow_mul_eq_iff_eq_mulproof · cited by 1