Theorems · Theorem · field theory
Polynomial.add_comp
∀ {R : Type u} [inst : Semiring R] {p q r : Polynomial R}, (p + q).comp r = p.comp r + q.comp r- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 20 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.
Cites5
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.Cproof · cited by 1,598
- Polynomial.compstatement · cited by 193
- Polynomial.eval₂_addproof · cited by 22
Cited by20
Results whose statement or proof uses this declaration.
- Polynomial.eval_compproof · cited by 29
- Polynomial.map_compproof · cited by 14
- Polynomial.comp_assocproof · cited by 11
- ascPochhammer_succ_rightproof · cited by 11
- Polynomial.mul_X_compproof · cited by 5
- Polynomial.smeval_compproof · cited by 5
- Polynomial.taylor_taylorproof · cited by 3
- Polynomial.Splits.comp_of_natDegree_le_one_of_invertibleproof · cited by 3
- Polynomial.derivative_compproof · cited by 2
- Polynomial.bernoulli_comp_one_sub_Xproof · cited by 2
- Polynomial.eval₂_comp'proof · cited by 2
- Polynomial.mul_X_add_natCast_compproof · cited by 1