Theorems · Theorem · field theory
Polynomial.C_eq_natCast
∀ {R : Type u} [inst : Semiring R] (n : ℕ), Polynomial.C ↑n = ↑n- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 101 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.
Cites6
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
- Polynomial.Cstatement and proof · cited by 1,598
- map_natCastproof · cited by 134
Cited by25
Results whose statement or proof uses this declaration.
- Polynomial.natCast_compproof · cited by 8
- Ring.descPochhammer_eq_factorial_smul_chooseproof · cited by 8
- IsCyclotomicExtension.discr_prime_pow_ne_twoproof · cited by 4
- descPochhammer_succ_evalproof · cited by 3
- Polynomial.natCast_mul_compproof · cited by 3
- ascPochhammer_succ_evalproof · cited by 3
- Polynomial.derivative_compproof · cited by 2
- Ring.smeval_ascPochhammer_succ_negproof · cited by 2
- Polynomial.descPochhammer_smeval_eq_ascPochhammerproof · cited by 2
- Polynomial.eval_natCast_mulproof · cited by 2
- Polynomial.derivative_bernoulli_add_oneproof · cited by 1