Theorems · Theorem · field theory
Polynomial.X_comp
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R}, Polynomial.X.comp p = p- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 102 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.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.compstatement · cited by 193
- Polynomial.eval₂_Xproof · cited by 34
Cited by29
Results whose statement or proof uses this declaration.
- descPochhammer_succ_rightproof · cited by 14
- Polynomial.comp_assocproof · cited by 11
- ascPochhammer_succ_rightproof · cited by 11
- Polynomial.taylor_Xproof · cited by 3
- Polynomial.Chebyshev.S_eq_U_comp_half_mul_Xproof · cited by 3
- Polynomial.taylor_taylorproof · cited by 3
- Polynomial.Chebyshev.C_eq_two_mul_T_comp_half_mul_Xproof · cited by 3
- Polynomial.Splits.comp_of_natDegree_le_one_of_invertibleproof · cited by 3
- Polynomial.bernoulli_comp_one_sub_Xproof · cited by 2
- Polynomial.Chebyshev.S_comp_two_mul_Xproof · cited by 2
- Polynomial.Chebyshev.C_comp_two_mul_Xproof · cited by 2
- Polynomial.dvd_comp_C_mul_X_add_C_iffproof · cited by 2