Theorems · Theorem · commutative algebra
ascPochhammer_mul
∀ (S : Type u) [inst : Semiring S] (n m : ℕ), ascPochhammer S n * (ascPochhammer S m).comp (Polynomial.X + ↑n) = ascPochhammer S (n + m)
- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- 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
- ascPochhammerstatement and proof · cited by 80
- Polynomial.one_compproof · cited by 18
- ascPochhammer_succ_rightproof · cited by 11
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