Theorems · Theorem · commutative algebra
descPochhammer_natDegree
∀ (R : Type u) [inst : Ring R] (n : ℕ) [NoZeroDivisors R] [Nontrivial R], (descPochhammer R n).natDegree = n
- 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
- RingNoZeroDivisorsNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Nontrivialstatement and proof · cited by 2,416
- Polynomial.Xproof · cited by 1,639
- Polynomial.natDegreestatement and proof · cited by 1,105
- NoZeroDivisorsstatement and proof · cited by 545
- descPochhammerstatement and proof · cited by 51
- Polynomial.natDegree_oneproof · cited by 43
- Polynomial.natDegree_mulproof · cited by 23
- Polynomial.natDegree_X_sub_Cproof · cited by 22
- descPochhammer_succ_rightproof · cited by 14
- Polynomial.ne_zero_of_natDegree_gtproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.superFactorial_dvd_vandermonde_detproof · cited by 0