Theorems · Theorem · number theory
sq_dvd_add_pow_sub_sub
∀ {R : Type u_1} [inst : CommRing R] (p x : R) (n : ℕ), p ^ 2 ∣ (x + p) ^ n - x ^ (n - 1) * p * ↑n - x ^ n- Defined in
- Mathlib.NumberTheory.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- Finset.rangeproof · cited by 1,341
- pow_zeroproof · cited by 1,094
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
- pow_oneproof · cited by 894
Cited by1
Results whose statement or proof uses this declaration.
- odd_sq_dvd_geom_sum₂_subproof · cited by 1