Theorems · Theorem · ring theory
sub_one_dvd_pow_sub_one
∀ {R : Type u_1} [inst : Ring R] (x : R) (n : ℕ), x - 1 ∣ x ^ n - 1- Defined in
- Mathlib.Algebra.Ring.GeomSum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- one_powproof · cited by 521
- Commute.one_rightproof · cited by 22
- Commute.sub_dvd_pow_sub_powproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- pow_one_sub_dvd_pow_mul_sub_oneproof · cited by 1
- StandardEtalePair.existsUnique_hasMap_of_hasMap_quotient_of_sq_eq_botproof · cited by 0