Theorems · Theorem · field theory
Polynomial.natDegree_pow_X_add_C
∀ {R : Type u} [inst : Semiring R] [Nontrivial R] (n : ℕ) (r : R), ((Polynomial.X + Polynomial.C r) ^ n).natDegree = n- Defined in
- Mathlib.Algebra.Polynomial.Monic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringNontrivial
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.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- mul_oneproof · cited by 3,885
- Nontrivialstatement and proof · cited by 2,416
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.natDegreestatement · cited by 1,105
- Polynomial.monic_X_add_Cproof · cited by 9
- Polynomial.natDegree_X_add_Cproof · cited by 9
- Polynomial.Monic.natDegree_powproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.natDegree_taylorproof · cited by 4