Theorems · Theorem · ring theory
one_sub_dvd_one_sub_pow
∀ {R : Type u_1} [inst : Ring R] (x : R) (n : ℕ), 1 - x ∣ 1 - x ^ n- Defined in
- Mathlib.Algebra.Ring.GeomSum
- Cited by
- 1 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_leftproof · cited by 15
- Commute.sub_dvd_pow_sub_powproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.isUnit_charpolyRev_of_isNilpotentproof · cited by 2