Theorems · Theorem · commutative algebra
ascPochhammer_map
∀ {S : Type u} [inst : Semiring S] {T : Type v} [inst_1 : Semiring T] (f : S →+* T) (n : ℕ),
Polynomial.map f (ascPochhammer S n) = ascPochhammer T n- Defined in
- Mathlib.RingTheory.Polynomial.Pochhammer
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.mapstatement and proof · cited by 806
- Polynomial.compproof · cited by 193
- Polynomial.map_Xproof · cited by 122
- Polynomial.map_mulproof · cited by 90
- ascPochhammerstatement and proof · cited by 80
- Polynomial.map_addproof · cited by 50
- Polynomial.map_oneproof · cited by 37
- Polynomial.map_compproof · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- ascPochhammer_succ_rightproof · cited by 11
- ascPochhammer_eval_castproof · cited by 4
- ascPochhammer_eval₂proof · cited by 1
- ascPochhammer_eval_compproof · cited by 1
- ascPochhammer_succ_comp_X_add_oneproof · cited by 0