Theorems · Theorem · commutative algebra
descPochhammer_eval_cast
∀ (R : Type u) [inst : Ring R] (n : ℕ) (k : ℤ), ↑(Polynomial.eval k (descPochhammer ℤ n)) = Polynomial.eval (↑k) (descPochhammer R n)
- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites11
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
- Polynomialproof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- Polynomial.evalstatement and proof · cited by 796
- Polynomial.eval₂proof · cited by 267
- Int.castRingHomproof · cited by 254
- eq_intCastproof · cited by 127
- descPochhammerstatement and proof · cited by 51
- Polynomial.eval_mapproof · cited by 37
- descPochhammer_mapproof · cited by 3
- Polynomial.eval₂_at_intCastproof · cited by 1
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