Theorems · Theorem · commutative algebra
descPochhammer_eval_zero
∀ (R : Type u) [inst : Ring R] {n : ℕ}, Polynomial.eval 0 (descPochhammer R n) = if n = 0 then 1 else 0- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 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
- MulZeroClass.mul_zeroproof · cited by 2,091
- Polynomial.Xproof · cited by 1,639
- Polynomial.evalstatement and proof · cited by 796
- Polynomial.compproof · cited by 193
- Polynomial.eval_oneproof · cited by 86
- descPochhammerstatement and proof · cited by 51
- Polynomial.X_mulproof · cited by 12
- Polynomial.eval_mul_Xproof · cited by 11
- descPochhammer_succ_leftproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- descPochhammer_ne_zero_eval_zeroproof · cited by 0