Theorems · Theorem · commutative algebra
ascPochhammer_nat_eq_ascFactorial
∀ (n k : ℕ), Polynomial.eval n (ascPochhammer ℕ k) = n.ascFactorial k
- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomial.evalstatement · cited by 796
- ascPochhammerstatement · cited by 80
- Nat.ascFactorialstatement · cited by 41
Cited by6
Results whose statement or proof uses this declaration.
- ascPochhammer_nat_eq_descFactorialproof · cited by 3
- Nat.cast_ascFactorialproof · cited by 1
- ascPochhammer_nat_eq_natCast_ascFactorialproof · cited by 1
- ascPochhammer_nat_eval_succproof · cited by 1
- factorial_mul_ascPochhammerproof · cited by 0
- ascPochhammer_eval_oneproof · cited by 0