Theorems · Theorem · commutative algebra
descPochhammer_eval_coe_nat_of_lt
∀ {R : Type u} [inst : Ring R] {k n : ℕ}, k < n → Polynomial.eval (↑k) (descPochhammer R n) = 0descPochhammer R n is 0 for 0, 1, …, n-1.
- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 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.
Cites10
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
- Polynomial.evalstatement and proof · cited by 796
- neg_subproof · cited by 272
- ascPochhammerproof · cited by 80
- Nat.cast_add_oneproof · cited by 56
- Nat.cast_subproof · cited by 54
- descPochhammerstatement · cited by 51
- sub_add_eq_add_subproof · cited by 29
- descPochhammer_eval_eq_ascPochhammerproof · cited by 4
- ascPochhammer_eval_neg_coe_nat_of_ltproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.