Theorems · Theorem · commutative algebra
descPochhammer_mul
∀ (R : Type u) [inst : Ring R] (n m : ℕ), descPochhammer R n * (descPochhammer R m).comp (Polynomial.X - ↑n) = descPochhammer R (n + m)
- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 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.
Cites14
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
- Polynomialstatement and proof · cited by 5,681
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- mul_assocproof · cited by 1,667
- Polynomial.Xstatement and proof · cited by 1,639
- add_assocproof · cited by 746
- Nat.cast_addproof · cited by 586
- Polynomial.compstatement and proof · cited by 193
- descPochhammerstatement and proof · cited by 51
- Polynomial.one_compproof · cited by 18
- descPochhammer_succ_rightproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Ring.choose_smul_chooseproof · cited by 1