Theorems · Theorem · commutative algebra
descPochhammer_succ_comp_X_sub_one
∀ (R : Type u) [inst : Ring R] (n : ℕ),
(descPochhammer R (n + 1)).comp (Polynomial.X - 1) =
descPochhammer R (n + 1) - (↑n + 1) • (descPochhammer R n).comp (Polynomial.X - 1)- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites24
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
- Polynomialstatement and proof · cited by 5,681
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.mapproof · cited by 806
- Int.castRingHomproof · cited by 254
- Polynomial.compstatement and proof · cited by 193
- sub_mulproof · cited by 170
- Polynomial.map_Xproof · cited by 122
- Polynomial.map_mulproof · cited by 90
- descPochhammerstatement and proof · cited by 51
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