Theorems · Theorem · field theory
Polynomial.C_comp
∀ {R : Type u} {a : R} [inst : Semiring R] {p : Polynomial R}, (Polynomial.C a).comp p = Polynomial.C a- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 103 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.
Cites7
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 and proof · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.compstatement · cited by 193
- Polynomial.eval₂_Cproof · cited by 50
Cited by18
Results whose statement or proof uses this declaration.
- Polynomial.one_compproof · cited by 18
- Polynomial.map_compproof · cited by 14
- Polynomial.comp_assocproof · cited by 11
- Polynomial.zero_compproof · cited by 9
- Polynomial.natCast_compproof · cited by 8
- Polynomial.taylor_Cproof · cited by 4
- Polynomial.comp_eq_zero_iffproof · cited by 3
- Polynomial.taylor_taylorproof · cited by 3
- Polynomial.Splits.comp_of_natDegree_le_one_of_invertibleproof · cited by 3
- Polynomial.dvd_comp_C_mul_X_add_C_iffproof · cited by 2
- Matrix.charpoly_sub_scalarproof · cited by 1
- X_pow_mul_sub_C_irreducibleproof · cited by 1