Theorems · Theorem · commutative algebra
Polynomial.descPochhammer_smeval_eq_descFactorial
∀ {R : Type u_1} [inst : NonAssocRing R] [inst_1 : Pow R ℕ] [NatPowAssoc R] (n k : ℕ),
(descPochhammer ℤ k).smeval ↑n = ↑(n.descFactorial k)- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRingPowNatPowAssoc
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Polynomialproof · cited by 5,681
- Nat.cast_oneproof · cited by 2,501
- mul_commproof · cited by 2,262
- Nat.cast_zeroproof · cited by 1,870
- Polynomial.Xproof · cited by 1,639
- MulZeroClass.zero_mulproof · cited by 1,625
- one_smulproof · cited by 1,374
- NonAssocRingstatement and proof · cited by 483
- Nat.cast_mulproof · cited by 309
- Nat.descFactorialstatement and proof · cited by 68
- Polynomial.smevalstatement and proof · cited by 65
- Nat.cast_subproof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- Ring.choose_natCastproof · cited by 4